{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sequence Models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Imagine that you're watching movies on Netflix. As a good Netflix user you decide to rate each of the movies religiously. After all, a good movie is a good movie, and you want to watch more of them, right? As it turns out, things are not quite so simple. People's opinions on movies can change quite significantly over time. In fact, psychologists even have names for some of the effects:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- There's [anchoring](https://en.wikipedia.org/wiki/Anchoring), based on someone else's opinion. For instance after the Oscar awards, ratings for the corresponding movie go up, even though it's still the same movie. This effect persists for a few months until the award is forgotten. `Wu.Ahmed.Beutel.ea.2017` showed that the effect lifts rating by over half a point.\n",
    "- There's the Hedonic adaptation, where humans quickly adapt to accept an improved (or a bad) situation as the new normal. For instance, after watching many good movies, the expectations that the next movie be equally good or better are high, and even an average movie might be considered a bad movie after many great ones.\n",
    "- There's seasonality. Very few viewers like to watch a Santa Claus movie in August.\n",
    "- In some cases movies become unpopular due to the misbehaviors of directors or actors in the production.\n",
    "- Some movies become cult movies, because they were almost comically bad. *Plan 9 from Outer Space* and *Troll 2* achieved a high degree of notoriety for this reason.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In short, ratings are anything but stationary. Using temporal dynamics helped `Koren.2009` to recommend\n",
    "movies more accurately. But it isn't just about movies."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Many users have highly particular behavior when it comes to the time when they open apps. For instance, social media apps are much more popular after school with students. Stock market trading apps are more commonly used when the markets are open.\n",
    "- It is much harder to predict tomorrow's stock prices than to fill in the blanks for a stock price we missed yesterday, even though both are just a matter of estimating one number. After all, hindsight is so much easier than foresight. In statistics the former is called *prediction* whereas the latter is called *filtering*.\n",
    "- Music, speech, text, movies, steps, etc. are all sequential in nature. If we were to permute them they would make little sense. The headline *dog bites man* is much less surprising than *man bites dog*, even though the words are identical.\n",
    "- Earthquakes are strongly correlated, i.e. after a massive earthquake there are very likely several smaller aftershocks, much more so than without the strong quake. In fact, earthquakes are spatiotemporally correlated, i.e. the aftershocks typically occur within a short time span and in close proximity.\n",
    "- Humans interact with each other in a sequential nature, as can be seen in Twitter fights, dance patterns and debates.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Statistical Tools"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In short, we need statistical tools and new deep networks architectures to deal with sequence data. To keep things simple, we use the stock price as an example."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![FTSE 100 index over 30 years](../img/ftse100.png)\n"
    
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's denote the prices by $x_t \\geq 0$, i.e. at time $t \\in \\mathbb{N}$ we observe some price $x_t$. For a trader to do well in the stock market on day $t$ he should want to predict $x_t$ via\n",
    "\n",
    "$$x_t \\sim p(x_t|x_{t-1}, \\ldots x_1).$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Autoregressive Models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to achieve this, our trader could use a regressor. There's just a major problem - the number of inputs, $x_{t-1}, \\ldots x_1$ varies, depending on $t$. That is, the number increases with the amount of data that we encounter, and we will need an approximation to make this computationally tractable. Much of what follows in this chapter will revolve around how to estimate $p(x_t|x_{t-1}, \\ldots x_1)$ efficiently. In a nutshell it boils down to two strategies:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Assume that the potentially rather long sequence $x_{t-1}, \\ldots x_1$ isn't really necessary. In this case we might content ourselves with some timespan $\\tau$ and only use $x_{t-1}, \\ldots x_{t-\\tau}$ observations. The immediate benefit is that now the number of arguments is always the same, at least for $t > \\tau$. This allows us to train a deep network as indicated above. Such models will be called *autoregressive* models, as they quite literally perform regression on themselves.\n",
    "1. Another strategy is to try and keep some summary $h_t$ of the past observations around and update that in addition to the actual prediction. This leads to models that estimate $x_t|x_{t-1}, h_{t-1}$ and moreover updates of the form  $h_t = g(h_t, x_t)$. Since $h_t$ is never observed, these models are also called *latent autoregressive models*. LSTMs and GRUs are examples of this."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both cases raise the obvious question how to generate training data. One typically uses historical observations to predict the next observation given the ones up to right now. Obviously we do not expect time to stand still. However, a common assumption is that while the specific values of $x_t$ might change, at least the dynamics of the time series itself won't. This is reasonable, since novel dynamics are just that, novel and thus not predictable using data we have so far. Statisticians call dynamics that don't change *stationary*. Regardless of what we do, we will thus get an estimate of the entire time series via\n",
    "\n",
    "$$p(x_1, \\ldots x_T) = \\prod_{t=1}^T p(x_t|x_{t-1}, \\ldots x_1).$$\n",
    "\n",
    "Note that the above considerations still hold if we deal with discrete objects, such as words, rather than numbers. The only difference is that in such a situation we need to use a classifier rather than a regressor to estimate $p(x_t| x_{t-1}, \\ldots x_1)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Markov Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recall the approximation that in an autoregressive model we use only $(x_{t-1}, \\ldots x_{t-\\tau})$ instead of $(x_{t-1}, \\ldots x_1)$ to estimate $x_t$. Whenever this approximation is accurate we say that the sequence satisfies a Markov condition. In particular, if $\\tau = 1$, we have a *first order* Markov model and $p(x)$ is given by\n",
    "\n",
    "$$p(x_1, \\ldots x_T) = \\prod_{t=1}^T p(x_t|x_{t-1}).$$\n",
    "\n",
    "Such models are particularly nice whenever $x_t$ assumes only discrete values, since in this case dynamic programming can be used to compute values along the chain exactly. For instance, we can compute $x_{t+1}|x_{t-1}$ efficiently using the fact that we only need to take into account a very short history of past observations.\n",
    "\n",
    "$$p(x_{t+1}|x_{t-1}) = \\sum_{x_t} p(x_{t+1}|x_t) p(x_t|x_{t-1})$$\n",
    "\n",
    "Going into details of dynamic programming is beyond the scope of this section. Control and reinforcement learning algorithms use such tools extensively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Causality"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In principle, there's nothing wrong with unfolding $p(x_1, \\ldots x_T)$ in reverse order. After all, by conditioning we can always write it via\n",
    "\n",
    "$$p(x_1, \\ldots x_T) = \\prod_{t=T}^1 p(x_t|x_{t+1}, \\ldots x_T).$$\n",
    "\n",
    "In fact, if we have a Markov model we can obtain a reverse conditional probability distribution, too.\n",
    "In many cases, however, there exists a natural direction for the data, namely going forward in time. It is clear that future events cannot influence the past. Hence, if we change $x_t$, we may be able to influence what happens for $x_{t+1}$ going forward but not the converse. That is, if we change $x_t$, the distribution over past events will not change. Consequently, it ought to be easier to explain $x_{t+1}|x_t$ rather than $x_t|x_{t+1}$. For instance, [Hoyer et al., 2008](https://papers.nips.cc/paper/3548-nonlinear-causal-discovery-with-additive-noise-models) show that in some cases we can find $x_{t+1} = f(x_t) + \\epsilon$ for some additive noise, whereas the converse is not true. This is great news, since it is typically the forward direction that we're interested in estimating. For more on this topic see e.g. the book by [Peters, Janzing and Schölkopf, 2015](https://mitpress.mit.edu/books/elements-causal-inference). We are barely scratching the surface of it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Toy Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After so much theory, let's try this out in practice. Let's begin by generating some data. To keep things simple we generate our 'time series' by using a sine function with some additive noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x234a663ccc0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n",
       "<svg height=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 383.982812 252.018125\" width=\"383.982812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M -0 252.018125 \r\n",
       "L 383.982812 252.018125 \r\n",
       "L 383.982812 0 \r\n",
       "L -0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 373.282813 228.14 \r\n",
       "L 373.282813 10.7 \r\n",
       "L 38.482813 10.7 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 3.5 \r\n",
       "\" id=\"m4c4723de8b\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"53.700994\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-30\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(50.519744 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"114.634655\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 200 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-32\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(105.090905 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"175.568316\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- 400 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-34\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(166.024566 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"236.501977\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 600 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-36\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(226.958227 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"297.435638\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 800 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-38\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(287.891888 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"358.369299\" xlink:href=\"#m4c4723de8b\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 1000 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-31\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(345.644299 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L -3.5 0 \r\n",
       "\" id=\"md956b2581b\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"218.561351\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- −1.5 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2212\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2e\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-35\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(7.2 222.36057)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"184.776987\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- −1.0 -->\r\n",
       "      <g transform=\"translate(7.2 188.576206)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"150.992623\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- −0.5 -->\r\n",
       "      <g transform=\"translate(7.2 154.791842)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"117.208259\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 0.0 -->\r\n",
       "      <g transform=\"translate(15.579688 121.007478)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"83.423895\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 0.5 -->\r\n",
       "      <g transform=\"translate(15.579688 87.223114)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"49.639531\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- 1.0 -->\r\n",
       "      <g transform=\"translate(15.579688 53.43875)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_7\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#md956b2581b\" y=\"15.855167\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_13\">\r\n",
       "      <!-- 1.5 -->\r\n",
       "      <g transform=\"translate(15.579688 19.654386)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_14\">\r\n",
       "    <path clip-path=\"url(#p222a31eecb)\" d=\"M 53.700994 102.79544 \r\n",
       "L 54.005663 107.295946 \r\n",
       "L 54.310331 100.668505 \r\n",
       "L 54.919668 136.109251 \r\n",
       "L 55.224336 126.563441 \r\n",
       "L 55.529004 111.666454 \r\n",
       "L 55.833672 104.599722 \r\n",
       "L 56.138341 112.560189 \r\n",
       "L 56.443009 106.467611 \r\n",
       "L 56.747677 92.461681 \r\n",
       "L 57.052346 132.387275 \r\n",
       "L 57.357014 119.575124 \r\n",
       "L 57.661682 84.849755 \r\n",
       "L 57.966351 115.910113 \r\n",
       "L 58.271019 120.474327 \r\n",
       "L 58.575687 107.765046 \r\n",
       "L 58.880355 107.75992 \r\n",
       "L 59.185024 126.753133 \r\n",
       "L 59.489692 89.618245 \r\n",
       "L 59.79436 121.751377 \r\n",
       "L 60.099029 104.485523 \r\n",
       "L 60.403697 97.743154 \r\n",
       "L 60.708365 105.557912 \r\n",
       "L 61.013034 105.363511 \r\n",
       "L 61.317702 93.447112 \r\n",
       "L 61.62237 107.741305 \r\n",
       "L 61.927039 72.431236 \r\n",
       "L 62.231707 90.893377 \r\n",
       "L 62.536375 81.457697 \r\n",
       "L 63.145712 82.858523 \r\n",
       "L 63.45038 111.003171 \r\n",
       "L 63.755048 105.838967 \r\n",
       "L 64.059717 92.773487 \r\n",
       "L 64.364385 91.746999 \r\n",
       "L 64.669053 110.474468 \r\n",
       "L 64.973722 89.231076 \r\n",
       "L 65.27839 80.43517 \r\n",
       "L 65.583058 99.157138 \r\n",
       "L 65.887727 96.841618 \r\n",
       "L 66.192395 79.378958 \r\n",
       "L 66.497063 98.654773 \r\n",
       "L 66.801731 75.282957 \r\n",
       "L 67.1064 81.337842 \r\n",
       "L 67.411068 64.965284 \r\n",
       "L 67.715736 97.894162 \r\n",
       "L 68.020405 93.871784 \r\n",
       "L 68.325073 106.787185 \r\n",
       "L 68.629741 56.318209 \r\n",
       "L 68.93441 56.451786 \r\n",
       "L 69.239078 89.238706 \r\n",
       "L 69.848414 79.356646 \r\n",
       "L 70.457751 49.363517 \r\n",
       "L 70.762419 81.072963 \r\n",
       "L 71.067088 56.338499 \r\n",
       "L 71.371756 80.70307 \r\n",
       "L 71.981093 71.243638 \r\n",
       "L 72.285761 85.003826 \r\n",
       "L 72.590429 106.066323 \r\n",
       "L 72.895098 54.875639 \r\n",
       "L 73.199766 85.087316 \r\n",
       "L 73.504434 56.582673 \r\n",
       "L 73.809102 68.904103 \r\n",
       "L 74.113771 96.73778 \r\n",
       "L 74.418439 72.453987 \r\n",
       "L 74.723107 66.240278 \r\n",
       "L 75.027776 76.583661 \r\n",
       "L 75.332444 81.12685 \r\n",
       "L 75.637112 63.326455 \r\n",
       "L 75.941781 71.131966 \r\n",
       "L 76.246449 85.233356 \r\n",
       "L 76.551117 79.70101 \r\n",
       "L 76.855785 78.259636 \r\n",
       "L 77.160454 93.533786 \r\n",
       "L 77.465122 82.098011 \r\n",
       "L 77.76979 48.961509 \r\n",
       "L 78.074459 48.012031 \r\n",
       "L 78.379127 56.642363 \r\n",
       "L 78.683795 72.082205 \r\n",
       "L 78.988464 45.56641 \r\n",
       "L 79.293132 69.883267 \r\n",
       "L 79.5978 61.772378 \r\n",
       "L 79.902469 49.691227 \r\n",
       "L 80.207137 52.433482 \r\n",
       "L 80.816473 65.1134 \r\n",
       "L 81.121142 56.667128 \r\n",
       "L 81.42581 39.285616 \r\n",
       "L 81.730478 82.867436 \r\n",
       "L 82.035147 52.596927 \r\n",
       "L 82.339815 79.683108 \r\n",
       "L 82.644483 69.361843 \r\n",
       "L 82.949152 54.427078 \r\n",
       "L 83.25382 49.263017 \r\n",
       "L 83.558488 64.701827 \r\n",
       "L 83.863156 62.031827 \r\n",
       "L 84.167825 65.036956 \r\n",
       "L 84.472493 60.353199 \r\n",
       "L 84.777161 64.883133 \r\n",
       "L 85.08183 75.979522 \r\n",
       "L 85.691166 25.419831 \r\n",
       "L 85.995835 38.708858 \r\n",
       "L 86.300503 58.700342 \r\n",
       "L 86.605171 68.38963 \r\n",
       "L 86.90984 59.877646 \r\n",
       "L 87.214508 59.170401 \r\n",
       "L 87.519176 70.553738 \r\n",
       "L 87.823844 66.923423 \r\n",
       "L 88.128513 58.237298 \r\n",
       "L 88.433181 64.649849 \r\n",
       "L 88.737849 51.031243 \r\n",
       "L 89.042518 52.909313 \r\n",
       "L 89.347186 28.818159 \r\n",
       "L 89.651854 60.543784 \r\n",
       "L 89.956523 67.167903 \r\n",
       "L 90.261191 54.212772 \r\n",
       "L 90.565859 84.991593 \r\n",
       "L 90.870527 45.720442 \r\n",
       "L 91.175196 30.927451 \r\n",
       "L 91.479864 63.593411 \r\n",
       "L 91.784532 64.741066 \r\n",
       "L 92.089201 41.689254 \r\n",
       "L 92.393869 64.94462 \r\n",
       "L 92.698537 37.552234 \r\n",
       "L 93.003206 41.113601 \r\n",
       "L 93.307874 51.249561 \r\n",
       "L 93.917211 41.854652 \r\n",
       "L 94.221879 44.003839 \r\n",
       "L 94.526547 33.598623 \r\n",
       "L 94.831215 78.097428 \r\n",
       "L 95.135884 70.385711 \r\n",
       "L 95.440552 49.844361 \r\n",
       "L 95.74522 58.603144 \r\n",
       "L 96.049889 93.305689 \r\n",
       "L 96.354557 45.128679 \r\n",
       "L 96.659225 55.772 \r\n",
       "L 96.963894 51.5851 \r\n",
       "L 97.268562 56.226203 \r\n",
       "L 97.57323 53.434519 \r\n",
       "L 97.877898 58.149618 \r\n",
       "L 98.182567 49.027606 \r\n",
       "L 98.487235 45.641803 \r\n",
       "L 98.791903 48.517913 \r\n",
       "L 99.096572 53.053772 \r\n",
       "L 99.40124 51.960636 \r\n",
       "L 99.705908 38.697517 \r\n",
       "L 100.010577 58.327597 \r\n",
       "L 100.315245 40.03643 \r\n",
       "L 100.619913 52.930928 \r\n",
       "L 100.924582 57.561511 \r\n",
       "L 101.533918 39.169731 \r\n",
       "L 101.838586 42.518128 \r\n",
       "L 102.143255 44.005764 \r\n",
       "L 102.447923 90.210149 \r\n",
       "L 102.752591 21.971724 \r\n",
       "L 103.05726 44.44981 \r\n",
       "L 103.361928 56.637712 \r\n",
       "L 103.666596 43.500494 \r\n",
       "L 103.971265 68.10983 \r\n",
       "L 104.275933 43.760632 \r\n",
       "L 104.580601 68.039841 \r\n",
       "L 104.88527 64.72958 \r\n",
       "L 105.189938 54.786154 \r\n",
       "L 105.799274 70.284236 \r\n",
       "L 106.103943 67.521014 \r\n",
       "L 106.408611 36.75873 \r\n",
       "L 106.713279 41.454118 \r\n",
       "L 107.017948 55.124912 \r\n",
       "L 107.322616 40.505945 \r\n",
       "L 107.627284 64.611227 \r\n",
       "L 107.931953 20.583636 \r\n",
       "L 108.236621 68.101239 \r\n",
       "L 108.541289 43.955841 \r\n",
       "L 108.845957 59.829789 \r\n",
       "L 109.150626 46.011995 \r\n",
       "L 109.455294 61.974807 \r\n",
       "L 109.759962 58.530059 \r\n",
       "L 110.064631 45.523993 \r\n",
       "L 110.369299 48.022558 \r\n",
       "L 110.673967 34.003563 \r\n",
       "L 110.978636 31.44155 \r\n",
       "L 111.587972 37.055252 \r\n",
       "L 111.892641 44.872753 \r\n",
       "L 112.197309 28.069367 \r\n",
       "L 112.501977 64.464166 \r\n",
       "L 112.806645 32.343271 \r\n",
       "L 113.111314 41.015445 \r\n",
       "L 113.415982 30.182066 \r\n",
       "L 114.025319 62.839859 \r\n",
       "L 114.329987 44.78647 \r\n",
       "L 114.634655 35.035345 \r\n",
       "L 114.939324 70.250503 \r\n",
       "L 115.243992 69.905527 \r\n",
       "L 115.54866 68.557428 \r\n",
       "L 115.853328 43.872377 \r\n",
       "L 116.157997 44.089865 \r\n",
       "L 116.462665 39.981826 \r\n",
       "L 116.767333 68.832552 \r\n",
       "L 117.37667 59.735201 \r\n",
       "L 117.681338 91.199223 \r\n",
       "L 117.986007 55.686317 \r\n",
       "L 118.290675 73.734599 \r\n",
       "L 118.900012 44.59114 \r\n",
       "L 119.20468 73.498806 \r\n",
       "L 119.509348 49.289058 \r\n",
       "L 119.814016 66.789181 \r\n",
       "L 120.118685 67.072103 \r\n",
       "L 120.423353 39.121555 \r\n",
       "L 120.728021 76.402984 \r\n",
       "L 121.03269 80.925838 \r\n",
       "L 121.337358 43.706818 \r\n",
       "L 121.642026 64.589696 \r\n",
       "L 121.946695 77.067265 \r\n",
       "L 122.251363 51.580811 \r\n",
       "L 122.556031 60.944491 \r\n",
       "L 122.860699 85.428508 \r\n",
       "L 123.470036 41.684309 \r\n",
       "L 123.774704 64.083724 \r\n",
       "L 124.079373 76.756985 \r\n",
       "L 124.384041 76.001278 \r\n",
       "L 124.688709 74.29022 \r\n",
       "L 124.993378 79.002641 \r\n",
       "L 125.602714 50.232595 \r\n",
       "L 126.212051 59.869136 \r\n",
       "L 126.516719 69.494284 \r\n",
       "L 126.821387 65.512674 \r\n",
       "L 127.126056 65.495952 \r\n",
       "L 127.430724 67.979188 \r\n",
       "L 127.735392 81.067691 \r\n",
       "L 128.040061 86.532621 \r\n",
       "L 128.344729 47.74896 \r\n",
       "L 128.649397 54.652617 \r\n",
       "L 128.954066 90.784837 \r\n",
       "L 129.258734 79.196009 \r\n",
       "L 129.563402 77.085606 \r\n",
       "L 129.86807 94.059558 \r\n",
       "L 130.172739 70.689265 \r\n",
       "L 130.477407 78.171109 \r\n",
       "L 130.782075 78.608176 \r\n",
       "L 131.086744 77.002528 \r\n",
       "L 131.391412 82.927388 \r\n",
       "L 131.69608 79.364902 \r\n",
       "L 132.000749 79.990766 \r\n",
       "L 132.305417 78.612795 \r\n",
       "L 132.610085 92.420479 \r\n",
       "L 132.914754 73.661739 \r\n",
       "L 133.52409 80.963035 \r\n",
       "L 133.828758 73.690096 \r\n",
       "L 134.133427 97.354586 \r\n",
       "L 134.438095 79.445716 \r\n",
       "L 134.742763 90.695112 \r\n",
       "L 135.047432 86.988377 \r\n",
       "L 135.3521 80.151117 \r\n",
       "L 135.656768 103.521572 \r\n",
       "L 135.961437 76.953128 \r\n",
       "L 136.266105 99.671841 \r\n",
       "L 136.570773 67.201133 \r\n",
       "L 136.875441 93.635542 \r\n",
       "L 137.18011 58.507944 \r\n",
       "L 137.484778 84.795289 \r\n",
       "L 137.789446 90.57545 \r\n",
       "L 138.094115 84.707129 \r\n",
       "L 138.398783 98.507796 \r\n",
       "L 138.703451 79.968103 \r\n",
       "L 139.00812 104.350095 \r\n",
       "L 139.312788 114.622638 \r\n",
       "L 139.617456 87.635195 \r\n",
       "L 139.922125 119.551074 \r\n",
       "L 140.226793 86.796799 \r\n",
       "L 140.531461 115.313971 \r\n",
       "L 140.836129 104.966064 \r\n",
       "L 141.140798 107.008747 \r\n",
       "L 141.445466 102.268556 \r\n",
       "L 141.750134 124.594981 \r\n",
       "L 142.054803 94.207912 \r\n",
       "L 142.359471 97.084749 \r\n",
       "L 142.664139 114.852898 \r\n",
       "L 142.968808 110.989241 \r\n",
       "L 143.273476 100.183152 \r\n",
       "L 143.578144 100.183722 \r\n",
       "L 143.882812 124.945862 \r\n",
       "L 144.187481 101.17346 \r\n",
       "L 144.492149 134.426891 \r\n",
       "L 144.796817 126.392648 \r\n",
       "L 145.101486 101.875716 \r\n",
       "L 145.406154 116.605341 \r\n",
       "L 145.710822 105.834849 \r\n",
       "L 146.015491 108.605097 \r\n",
       "L 146.320159 125.060821 \r\n",
       "L 146.624827 123.360547 \r\n",
       "L 147.234164 95.776727 \r\n",
       "L 147.538832 117.256893 \r\n",
       "L 147.8435 106.155968 \r\n",
       "L 148.148169 127.60997 \r\n",
       "L 148.452837 103.861398 \r\n",
       "L 148.757505 111.273261 \r\n",
       "L 149.062174 139.25227 \r\n",
       "L 149.366842 137.164459 \r\n",
       "L 149.67151 115.877006 \r\n",
       "L 149.976179 122.07028 \r\n",
       "L 150.280847 136.093768 \r\n",
       "L 150.585515 105.552952 \r\n",
       "L 150.890184 108.533837 \r\n",
       "L 151.194852 120.895969 \r\n",
       "L 151.49952 119.858612 \r\n",
       "L 151.804188 133.212968 \r\n",
       "L 152.108857 115.910556 \r\n",
       "L 152.413525 113.807672 \r\n",
       "L 152.718193 107.75035 \r\n",
       "L 153.022862 134.805743 \r\n",
       "L 153.32753 115.450727 \r\n",
       "L 153.632198 126.379654 \r\n",
       "L 153.936867 119.240601 \r\n",
       "L 154.241535 91.569916 \r\n",
       "L 154.546203 123.856536 \r\n",
       "L 154.850871 111.615527 \r\n",
       "L 155.15554 135.079051 \r\n",
       "L 155.460208 112.442915 \r\n",
       "L 155.764876 102.758814 \r\n",
       "L 156.069545 103.57346 \r\n",
       "L 156.374213 115.092037 \r\n",
       "L 156.678881 147.267297 \r\n",
       "L 156.98355 135.186316 \r\n",
       "L 157.288218 146.780846 \r\n",
       "L 157.592886 127.540636 \r\n",
       "L 157.897555 129.128225 \r\n",
       "L 158.202223 127.112374 \r\n",
       "L 158.506891 128.615438 \r\n",
       "L 158.811559 123.050556 \r\n",
       "L 159.116228 135.197431 \r\n",
       "L 159.420896 139.718209 \r\n",
       "L 159.725564 131.910281 \r\n",
       "L 160.030233 113.980771 \r\n",
       "L 160.334901 150.863333 \r\n",
       "L 160.639569 151.434213 \r\n",
       "L 160.944238 128.41214 \r\n",
       "L 161.553574 158.33205 \r\n",
       "L 161.858242 134.312376 \r\n",
       "L 162.467579 155.086856 \r\n",
       "L 162.772247 132.472344 \r\n",
       "L 163.076916 160.165042 \r\n",
       "L 163.381584 168.948146 \r\n",
       "L 163.686252 139.794498 \r\n",
       "L 163.990921 150.526155 \r\n",
       "L 164.295589 167.204986 \r\n",
       "L 164.600257 162.24888 \r\n",
       "L 164.904926 161.962994 \r\n",
       "L 165.209594 143.345172 \r\n",
       "L 165.514262 165.046718 \r\n",
       "L 165.81893 137.475604 \r\n",
       "L 166.428267 150.243944 \r\n",
       "L 166.732935 146.156461 \r\n",
       "L 167.037604 157.238995 \r\n",
       "L 167.342272 197.825071 \r\n",
       "L 167.64694 163.284428 \r\n",
       "L 167.951609 172.696944 \r\n",
       "L 168.256277 160.587517 \r\n",
       "L 168.560945 155.723718 \r\n",
       "L 168.865613 157.116892 \r\n",
       "L 169.170282 163.194737 \r\n",
       "L 169.47495 158.527537 \r\n",
       "L 169.779618 147.987744 \r\n",
       "L 170.084287 146.688486 \r\n",
       "L 170.388955 166.06299 \r\n",
       "L 170.693623 159.722272 \r\n",
       "L 170.998292 168.14411 \r\n",
       "L 171.30296 165.123379 \r\n",
       "L 171.607628 167.506672 \r\n",
       "L 171.912297 164.927462 \r\n",
       "L 172.216965 164.446219 \r\n",
       "L 172.521633 167.302087 \r\n",
       "L 172.826301 156.587485 \r\n",
       "L 173.13097 158.050816 \r\n",
       "L 173.435638 177.175492 \r\n",
       "L 173.740306 152.491649 \r\n",
       "L 174.044975 166.200724 \r\n",
       "L 174.654311 174.356068 \r\n",
       "L 174.95898 195.287408 \r\n",
       "L 175.263648 166.190341 \r\n",
       "L 175.568316 174.697355 \r\n",
       "L 175.872984 157.775386 \r\n",
       "L 176.177653 161.723834 \r\n",
       "L 176.482321 180.614494 \r\n",
       "L 176.786989 161.082912 \r\n",
       "L 177.091658 166.627009 \r\n",
       "L 177.700994 186.981777 \r\n",
       "L 178.005663 190.345687 \r\n",
       "L 178.310331 165.377356 \r\n",
       "L 178.919668 172.475912 \r\n",
       "L 179.224336 149.50107 \r\n",
       "L 179.529004 188.966307 \r\n",
       "L 180.138341 175.963218 \r\n",
       "L 180.443009 189.990172 \r\n",
       "L 180.747677 170.374566 \r\n",
       "L 181.052346 188.234495 \r\n",
       "L 181.357014 178.383148 \r\n",
       "L 181.661682 162.566779 \r\n",
       "L 181.966351 167.335088 \r\n",
       "L 182.271019 177.823563 \r\n",
       "L 182.575687 174.916236 \r\n",
       "L 182.880355 183.820147 \r\n",
       "L 183.185024 181.618004 \r\n",
       "L 183.489692 181.542135 \r\n",
       "L 183.79436 186.288305 \r\n",
       "L 184.099029 179.068291 \r\n",
       "L 184.403697 177.245235 \r\n",
       "L 184.708365 161.004169 \r\n",
       "L 185.013034 194.464133 \r\n",
       "L 185.317702 187.252838 \r\n",
       "L 185.62237 202.892986 \r\n",
       "L 185.927039 189.522259 \r\n",
       "L 186.231707 156.581702 \r\n",
       "L 186.536375 180.140069 \r\n",
       "L 186.841043 176.545537 \r\n",
       "L 187.145712 154.193456 \r\n",
       "L 187.45038 191.509721 \r\n",
       "L 187.755048 184.927129 \r\n",
       "L 188.059717 186.788671 \r\n",
       "L 188.364385 197.512149 \r\n",
       "L 188.669053 168.179245 \r\n",
       "L 188.973722 164.285404 \r\n",
       "L 189.27839 190.917595 \r\n",
       "L 189.583058 181.659567 \r\n",
       "L 189.887727 190.409159 \r\n",
       "L 190.192395 187.736658 \r\n",
       "L 190.497063 190.758916 \r\n",
       "L 190.801731 187.141794 \r\n",
       "L 191.1064 165.870746 \r\n",
       "L 191.411068 197.764563 \r\n",
       "L 191.715736 177.084844 \r\n",
       "L 192.020405 195.330606 \r\n",
       "L 192.325073 183.651797 \r\n",
       "L 192.629741 161.110766 \r\n",
       "L 192.93441 198.511438 \r\n",
       "L 193.239078 176.734282 \r\n",
       "L 193.543746 177.255847 \r\n",
       "L 193.848414 165.093093 \r\n",
       "L 194.153083 186.859279 \r\n",
       "L 194.457751 179.600585 \r\n",
       "L 194.762419 176.124999 \r\n",
       "L 195.067088 177.508104 \r\n",
       "L 195.371756 193.343031 \r\n",
       "L 195.676424 170.512139 \r\n",
       "L 195.981093 178.947166 \r\n",
       "L 196.285761 213.445059 \r\n",
       "L 196.895098 170.07444 \r\n",
       "L 197.199766 187.704238 \r\n",
       "L 197.504434 178.155261 \r\n",
       "L 197.809102 181.758931 \r\n",
       "L 198.113771 194.380902 \r\n",
       "L 198.418439 190.372703 \r\n",
       "L 198.723107 194.37176 \r\n",
       "L 199.027776 176.09698 \r\n",
       "L 199.332444 179.740159 \r\n",
       "L 199.637112 174.269893 \r\n",
       "L 199.941781 176.248471 \r\n",
       "L 200.246449 187.029695 \r\n",
       "L 200.551117 182.550812 \r\n",
       "L 200.855785 168.378642 \r\n",
       "L 201.160454 199.519088 \r\n",
       "L 201.465122 195.485065 \r\n",
       "L 202.074459 157.646525 \r\n",
       "L 202.379127 193.694205 \r\n",
       "L 202.988464 175.105798 \r\n",
       "L 203.293132 200.291553 \r\n",
       "L 203.5978 193.37438 \r\n",
       "L 203.902469 165.552137 \r\n",
       "L 204.207137 192.382002 \r\n",
       "L 204.511805 170.342198 \r\n",
       "L 204.816473 173.981478 \r\n",
       "L 205.121142 181.635326 \r\n",
       "L 205.42581 198.228505 \r\n",
       "L 205.730478 183.964268 \r\n",
       "L 206.035147 185.766103 \r\n",
       "L 206.339815 165.329148 \r\n",
       "L 206.644483 218.256364 \r\n",
       "L 207.25382 156.405704 \r\n",
       "L 207.558488 170.076711 \r\n",
       "L 207.863156 172.230034 \r\n",
       "L 208.167825 183.79711 \r\n",
       "L 208.472493 164.111779 \r\n",
       "L 209.08183 194.552414 \r\n",
       "L 209.386498 161.789159 \r\n",
       "L 209.691166 153.77206 \r\n",
       "L 209.995835 194.936194 \r\n",
       "L 210.300503 194.319339 \r\n",
       "L 210.605171 171.254177 \r\n",
       "L 210.90984 175.775839 \r\n",
       "L 211.214508 172.444933 \r\n",
       "L 211.519176 186.162199 \r\n",
       "L 211.823844 175.27406 \r\n",
       "L 212.128513 184.104293 \r\n",
       "L 212.433181 174.188729 \r\n",
       "L 212.737849 186.074579 \r\n",
       "L 213.042518 169.806718 \r\n",
       "L 213.651854 179.394986 \r\n",
       "L 213.956523 178.647603 \r\n",
       "L 214.261191 168.651705 \r\n",
       "L 214.565859 181.846458 \r\n",
       "L 214.870527 184.102477 \r\n",
       "L 215.175196 175.259037 \r\n",
       "L 215.784532 173.733136 \r\n",
       "L 216.393869 166.660742 \r\n",
       "L 216.698537 167.817535 \r\n",
       "L 217.003206 161.110013 \r\n",
       "L 217.307874 159.950248 \r\n",
       "L 217.612542 171.300758 \r\n",
       "L 217.917211 166.212335 \r\n",
       "L 218.221879 178.181495 \r\n",
       "L 218.526547 162.092093 \r\n",
       "L 218.831215 188.646998 \r\n",
       "L 219.135884 172.305786 \r\n",
       "L 219.440552 185.172737 \r\n",
       "L 219.74522 170.672989 \r\n",
       "L 220.049889 150.392688 \r\n",
       "L 220.354557 157.419955 \r\n",
       "L 220.659225 167.35332 \r\n",
       "L 220.963894 185.195177 \r\n",
       "L 221.268562 167.391476 \r\n",
       "L 221.57323 161.170702 \r\n",
       "L 221.877898 172.773042 \r\n",
       "L 222.182567 170.125688 \r\n",
       "L 222.487235 180.627088 \r\n",
       "L 222.791903 151.640726 \r\n",
       "L 223.096572 155.385944 \r\n",
       "L 223.40124 156.401177 \r\n",
       "L 224.010577 139.61675 \r\n",
       "L 224.315245 173.75016 \r\n",
       "L 224.619913 144.923691 \r\n",
       "L 224.924582 181.972347 \r\n",
       "L 225.22925 162.657996 \r\n",
       "L 225.533918 156.227644 \r\n",
       "L 225.838586 156.876476 \r\n",
       "L 226.143255 168.336894 \r\n",
       "L 226.447923 171.190117 \r\n",
       "L 226.752591 162.114413 \r\n",
       "L 227.05726 124.122267 \r\n",
       "L 227.361928 137.190884 \r\n",
       "L 227.666596 164.083546 \r\n",
       "L 227.971265 161.793565 \r\n",
       "L 228.275933 153.518808 \r\n",
       "L 228.580601 161.084544 \r\n",
       "L 228.88527 125.87613 \r\n",
       "L 229.189938 118.431372 \r\n",
       "L 229.494606 133.529014 \r\n",
       "L 229.799274 131.066964 \r\n",
       "L 230.103943 176.994307 \r\n",
       "L 230.408611 154.096153 \r\n",
       "L 230.713279 155.777513 \r\n",
       "L 231.017948 172.0317 \r\n",
       "L 231.322616 153.462054 \r\n",
       "L 231.627284 154.335668 \r\n",
       "L 231.931953 134.407781 \r\n",
       "L 232.236621 132.131524 \r\n",
       "L 232.541289 133.143225 \r\n",
       "L 232.845957 177.392916 \r\n",
       "L 233.150626 133.864808 \r\n",
       "L 233.455294 140.827364 \r\n",
       "L 233.759962 134.721693 \r\n",
       "L 234.064631 126.305299 \r\n",
       "L 234.369299 143.76603 \r\n",
       "L 234.673967 125.568576 \r\n",
       "L 234.978636 128.090622 \r\n",
       "L 235.283304 148.348705 \r\n",
       "L 235.587972 147.130196 \r\n",
       "L 235.892641 151.087155 \r\n",
       "L 236.197309 140.709951 \r\n",
       "L 236.501977 122.919214 \r\n",
       "L 236.806645 154.623664 \r\n",
       "L 237.111314 139.52701 \r\n",
       "L 237.415982 118.206483 \r\n",
       "L 237.72065 140.456367 \r\n",
       "L 238.025319 143.120432 \r\n",
       "L 238.329987 122.721326 \r\n",
       "L 238.634655 127.18064 \r\n",
       "L 238.939324 134.458587 \r\n",
       "L 239.243992 114.399642 \r\n",
       "L 239.54866 121.922513 \r\n",
       "L 239.853328 142.785817 \r\n",
       "L 240.157997 130.236715 \r\n",
       "L 240.462665 152.388193 \r\n",
       "L 240.767333 135.440205 \r\n",
       "L 241.072002 139.198301 \r\n",
       "L 241.37667 106.096953 \r\n",
       "L 241.681338 134.228144 \r\n",
       "L 241.986007 150.746681 \r\n",
       "L 242.595343 122.290002 \r\n",
       "L 242.900012 123.226216 \r\n",
       "L 243.20468 112.299047 \r\n",
       "L 243.509348 116.15094 \r\n",
       "L 243.814016 137.56253 \r\n",
       "L 244.118685 108.157038 \r\n",
       "L 244.423353 109.479899 \r\n",
       "L 244.728021 129.853361 \r\n",
       "L 245.03269 116.571525 \r\n",
       "L 245.642026 153.577467 \r\n",
       "L 245.946695 118.100005 \r\n",
       "L 246.251363 120.10397 \r\n",
       "L 246.556031 99.517828 \r\n",
       "L 246.860699 124.720319 \r\n",
       "L 247.165368 104.949165 \r\n",
       "L 247.470036 112.069047 \r\n",
       "L 247.774704 91.169525 \r\n",
       "L 248.079373 135.345519 \r\n",
       "L 248.384041 78.702542 \r\n",
       "L 248.993378 120.521032 \r\n",
       "L 249.298046 121.390488 \r\n",
       "L 249.602714 105.134362 \r\n",
       "L 249.907383 126.027008 \r\n",
       "L 250.516719 88.240963 \r\n",
       "L 250.821387 117.229368 \r\n",
       "L 251.126056 89.960869 \r\n",
       "L 251.430724 98.194252 \r\n",
       "L 251.735392 75.084885 \r\n",
       "L 252.040061 106.404208 \r\n",
       "L 252.344729 113.296346 \r\n",
       "L 252.649397 72.503653 \r\n",
       "L 253.258734 91.780632 \r\n",
       "L 253.563402 91.738898 \r\n",
       "L 253.86807 108.738343 \r\n",
       "L 254.477407 84.48846 \r\n",
       "L 254.782075 98.795512 \r\n",
       "L 255.086744 93.870824 \r\n",
       "L 255.391412 92.143532 \r\n",
       "L 255.69608 77.715247 \r\n",
       "L 256.000749 87.485085 \r\n",
       "L 256.305417 112.965201 \r\n",
       "L 256.610085 77.570167 \r\n",
       "L 256.914754 98.132655 \r\n",
       "L 257.219422 97.967646 \r\n",
       "L 257.52409 89.15051 \r\n",
       "L 258.133427 105.768225 \r\n",
       "L 258.438095 81.02171 \r\n",
       "L 258.742763 83.311551 \r\n",
       "L 259.047432 73.282478 \r\n",
       "L 259.3521 80.066912 \r\n",
       "L 259.656768 74.13175 \r\n",
       "L 259.961437 91.155463 \r\n",
       "L 260.266105 66.844143 \r\n",
       "L 260.875441 96.273512 \r\n",
       "L 261.18011 83.623075 \r\n",
       "L 261.484778 77.533035 \r\n",
       "L 261.789446 102.426188 \r\n",
       "L 262.094115 102.35085 \r\n",
       "L 262.398783 78.475831 \r\n",
       "L 262.703451 104.534658 \r\n",
       "L 263.00812 97.04732 \r\n",
       "L 263.312788 63.340603 \r\n",
       "L 263.617456 79.817917 \r\n",
       "L 263.922125 77.960266 \r\n",
       "L 264.226793 102.931429 \r\n",
       "L 264.836129 65.425283 \r\n",
       "L 265.140798 86.892085 \r\n",
       "L 265.445466 88.584991 \r\n",
       "L 265.750134 75.067603 \r\n",
       "L 266.054803 88.268873 \r\n",
       "L 266.359471 76.981642 \r\n",
       "L 266.664139 71.320876 \r\n",
       "L 266.968808 74.397124 \r\n",
       "L 267.273476 81.419993 \r\n",
       "L 267.578144 78.897799 \r\n",
       "L 267.882812 81.963057 \r\n",
       "L 268.187481 107.744498 \r\n",
       "L 268.492149 78.89359 \r\n",
       "L 268.796817 70.41261 \r\n",
       "L 269.101486 80.678909 \r\n",
       "L 269.406154 77.883838 \r\n",
       "L 269.710822 68.460021 \r\n",
       "L 270.015491 76.924557 \r\n",
       "L 270.320159 42.62777 \r\n",
       "L 270.624827 60.659399 \r\n",
       "L 270.929496 58.599806 \r\n",
       "L 271.234164 61.676296 \r\n",
       "L 271.538832 54.499801 \r\n",
       "L 271.8435 74.767038 \r\n",
       "L 272.148169 79.363098 \r\n",
       "L 272.452837 70.807715 \r\n",
       "L 272.757505 80.049771 \r\n",
       "L 273.062174 52.457107 \r\n",
       "L 273.366842 67.370095 \r\n",
       "L 273.67151 67.6083 \r\n",
       "L 273.976179 68.347801 \r\n",
       "L 274.280847 38.032632 \r\n",
       "L 274.585515 62.000361 \r\n",
       "L 274.890184 45.463179 \r\n",
       "L 275.194852 63.620242 \r\n",
       "L 275.49952 42.798701 \r\n",
       "L 275.804188 49.590187 \r\n",
       "L 276.108857 74.189588 \r\n",
       "L 276.413525 83.542694 \r\n",
       "L 276.718193 65.683367 \r\n",
       "L 277.022862 69.026098 \r\n",
       "L 277.32753 49.351555 \r\n",
       "L 277.632198 47.536015 \r\n",
       "L 277.936867 48.34198 \r\n",
       "L 278.241535 63.976068 \r\n",
       "L 278.546203 86.424362 \r\n",
       "L 278.850871 39.594486 \r\n",
       "L 279.15554 45.728207 \r\n",
       "L 279.460208 55.76202 \r\n",
       "L 279.764876 59.730694 \r\n",
       "L 280.069545 40.546284 \r\n",
       "L 280.678881 57.127546 \r\n",
       "L 280.98355 39.579496 \r\n",
       "L 281.288218 37.972938 \r\n",
       "L 281.592886 72.09059 \r\n",
       "L 281.897555 53.524339 \r\n",
       "L 282.202223 57.790783 \r\n",
       "L 282.506891 58.642762 \r\n",
       "L 282.811559 54.461726 \r\n",
       "L 283.116228 46.795841 \r\n",
       "L 283.420896 57.909 \r\n",
       "L 283.725564 80.736163 \r\n",
       "L 284.030233 74.397503 \r\n",
       "L 284.334901 54.976325 \r\n",
       "L 284.639569 70.494286 \r\n",
       "L 285.248906 37.702763 \r\n",
       "L 285.553574 39.995592 \r\n",
       "L 285.858242 32.78271 \r\n",
       "L 286.162911 57.221163 \r\n",
       "L 286.467579 41.598887 \r\n",
       "L 286.772247 53.724436 \r\n",
       "L 287.076916 52.881093 \r\n",
       "L 287.381584 58.094454 \r\n",
       "L 287.686252 49.334882 \r\n",
       "L 287.990921 63.618087 \r\n",
       "L 288.295589 33.718567 \r\n",
       "L 288.600257 57.975086 \r\n",
       "L 288.904926 40.751553 \r\n",
       "L 289.209594 43.17404 \r\n",
       "L 289.514262 62.385398 \r\n",
       "L 289.81893 53.500444 \r\n",
       "L 290.123599 40.527613 \r\n",
       "L 290.428267 44.983466 \r\n",
       "L 290.732935 52.407888 \r\n",
       "L 291.037604 69.229586 \r\n",
       "L 291.342272 43.780447 \r\n",
       "L 291.64694 60.933363 \r\n",
       "L 291.951609 35.598111 \r\n",
       "L 292.256277 42.218529 \r\n",
       "L 292.560945 65.527817 \r\n",
       "L 292.865613 26.941338 \r\n",
       "L 293.170282 39.109465 \r\n",
       "L 293.47495 44.715716 \r\n",
       "L 293.779618 56.571207 \r\n",
       "L 294.084287 63.788543 \r\n",
       "L 294.388955 49.654839 \r\n",
       "L 294.693623 62.375716 \r\n",
       "L 294.998292 45.296155 \r\n",
       "L 295.30296 56.412209 \r\n",
       "L 295.607628 33.136638 \r\n",
       "L 295.912297 49.956206 \r\n",
       "L 296.216965 57.162258 \r\n",
       "L 296.521633 37.012449 \r\n",
       "L 296.826301 70.748158 \r\n",
       "L 297.13097 39.826239 \r\n",
       "L 297.435638 26.501174 \r\n",
       "L 297.740306 60.316807 \r\n",
       "L 298.044975 48.275028 \r\n",
       "L 298.349643 31.695526 \r\n",
       "L 298.654311 82.520974 \r\n",
       "L 298.95898 38.641866 \r\n",
       "L 299.263648 52.640274 \r\n",
       "L 299.568316 39.708445 \r\n",
       "L 299.872984 61.970204 \r\n",
       "L 300.177653 58.504275 \r\n",
       "L 300.482321 67.020806 \r\n",
       "L 300.786989 70.571052 \r\n",
       "L 301.091658 27.133631 \r\n",
       "L 301.396326 49.704135 \r\n",
       "L 301.700994 61.206345 \r\n",
       "L 302.005663 52.540668 \r\n",
       "L 302.310331 60.034071 \r\n",
       "L 302.614999 48.478751 \r\n",
       "L 302.919668 48.246684 \r\n",
       "L 303.224336 50.248967 \r\n",
       "L 303.529004 40.416424 \r\n",
       "L 303.833672 57.388421 \r\n",
       "L 304.138341 86.236584 \r\n",
       "L 304.443009 29.590246 \r\n",
       "L 304.747677 72.185826 \r\n",
       "L 305.052346 29.739889 \r\n",
       "L 305.357014 51.357072 \r\n",
       "L 305.661682 82.978021 \r\n",
       "L 305.966351 44.487861 \r\n",
       "L 306.271019 36.992513 \r\n",
       "L 306.880355 51.558012 \r\n",
       "L 307.185024 43.890145 \r\n",
       "L 307.489692 95.807307 \r\n",
       "L 307.79436 45.441987 \r\n",
       "L 308.099029 55.74852 \r\n",
       "L 308.403697 25.865335 \r\n",
       "L 308.708365 47.65049 \r\n",
       "L 309.013034 48.821024 \r\n",
       "L 309.317702 78.555554 \r\n",
       "L 309.927039 41.375769 \r\n",
       "L 310.231707 51.655874 \r\n",
       "L 310.536375 53.332606 \r\n",
       "L 310.841043 56.653447 \r\n",
       "L 311.145712 49.239118 \r\n",
       "L 311.45038 54.470784 \r\n",
       "L 311.755048 43.111164 \r\n",
       "L 312.059717 76.411707 \r\n",
       "L 312.364385 73.328628 \r\n",
       "L 312.669053 71.525065 \r\n",
       "L 312.973722 58.919018 \r\n",
       "L 313.27839 67.847685 \r\n",
       "L 313.887727 37.747636 \r\n",
       "L 314.192395 38.119076 \r\n",
       "L 314.497063 56.851318 \r\n",
       "L 314.801731 66.196612 \r\n",
       "L 315.1064 79.660913 \r\n",
       "L 315.411068 67.402814 \r\n",
       "L 315.715736 72.500544 \r\n",
       "L 316.020405 94.496466 \r\n",
       "L 316.325073 52.53925 \r\n",
       "L 316.629741 68.5087 \r\n",
       "L 316.93441 72.029748 \r\n",
       "L 317.239078 67.626536 \r\n",
       "L 317.543746 79.33518 \r\n",
       "L 317.848414 61.856949 \r\n",
       "L 318.153083 63.806268 \r\n",
       "L 318.457751 69.400598 \r\n",
       "L 318.762419 60.357992 \r\n",
       "L 319.067088 73.769569 \r\n",
       "L 319.371756 65.68114 \r\n",
       "L 319.676424 62.431818 \r\n",
       "L 319.981093 87.650557 \r\n",
       "L 320.590429 47.338422 \r\n",
       "L 320.895098 85.265414 \r\n",
       "L 321.199766 70.704452 \r\n",
       "L 321.504434 62.329187 \r\n",
       "L 322.418439 91.795564 \r\n",
       "L 322.723107 63.772812 \r\n",
       "L 323.027776 87.791088 \r\n",
       "L 323.332444 75.820282 \r\n",
       "L 323.637112 68.327612 \r\n",
       "L 323.941781 74.547999 \r\n",
       "L 324.246449 73.339256 \r\n",
       "L 324.551117 122.325784 \r\n",
       "L 324.855785 85.83013 \r\n",
       "L 325.160454 66.890765 \r\n",
       "L 325.465122 64.90302 \r\n",
       "L 325.76979 68.127876 \r\n",
       "L 326.074459 98.979513 \r\n",
       "L 326.379127 115.808064 \r\n",
       "L 326.683795 72.035435 \r\n",
       "L 326.988464 79.582503 \r\n",
       "L 327.293132 102.412693 \r\n",
       "L 327.5978 90.435338 \r\n",
       "L 327.902469 64.5033 \r\n",
       "L 328.207137 101.683172 \r\n",
       "L 328.511805 89.089388 \r\n",
       "L 328.816473 86.4067 \r\n",
       "L 329.121142 67.974025 \r\n",
       "L 329.42581 81.00852 \r\n",
       "L 329.730478 99.044958 \r\n",
       "L 330.035147 83.129826 \r\n",
       "L 330.339815 105.779143 \r\n",
       "L 330.644483 107.83118 \r\n",
       "L 330.949152 104.236211 \r\n",
       "L 331.25382 110.846628 \r\n",
       "L 331.558488 85.055854 \r\n",
       "L 331.863156 109.487761 \r\n",
       "L 332.167825 117.507105 \r\n",
       "L 332.472493 96.401936 \r\n",
       "L 332.777161 97.277835 \r\n",
       "L 333.08183 112.435658 \r\n",
       "L 333.386498 90.854084 \r\n",
       "L 333.691166 127.399622 \r\n",
       "L 334.300503 84.319434 \r\n",
       "L 334.605171 94.318108 \r\n",
       "L 334.90984 121.134049 \r\n",
       "L 335.214508 87.669538 \r\n",
       "L 335.519176 107.843973 \r\n",
       "L 335.823844 109.424845 \r\n",
       "L 336.128513 122.621403 \r\n",
       "L 336.433181 112.999729 \r\n",
       "L 336.737849 107.152976 \r\n",
       "L 337.042518 110.607173 \r\n",
       "L 337.347186 122.149243 \r\n",
       "L 337.651854 104.209839 \r\n",
       "L 337.956523 118.330464 \r\n",
       "L 338.261191 92.609749 \r\n",
       "L 338.565859 106.503492 \r\n",
       "L 338.870527 129.624066 \r\n",
       "L 339.479864 104.651277 \r\n",
       "L 339.784532 107.458085 \r\n",
       "L 340.089201 111.721314 \r\n",
       "L 340.393869 112.373934 \r\n",
       "L 340.698537 126.472271 \r\n",
       "L 341.003206 127.838493 \r\n",
       "L 341.307874 97.483857 \r\n",
       "L 341.612542 128.436092 \r\n",
       "L 341.917211 93.822112 \r\n",
       "L 342.221879 133.283531 \r\n",
       "L 342.526547 127.754951 \r\n",
       "L 342.831215 103.187062 \r\n",
       "L 343.440552 134.570082 \r\n",
       "L 343.74522 114.25512 \r\n",
       "L 344.049889 101.700833 \r\n",
       "L 344.354557 121.363589 \r\n",
       "L 344.659225 109.317695 \r\n",
       "L 344.963894 139.326191 \r\n",
       "L 345.268562 126.468872 \r\n",
       "L 345.877898 140.368195 \r\n",
       "L 346.182567 125.160317 \r\n",
       "L 346.487235 121.05554 \r\n",
       "L 346.791903 130.089927 \r\n",
       "L 347.096572 122.96872 \r\n",
       "L 347.40124 125.744331 \r\n",
       "L 347.705908 142.904452 \r\n",
       "L 348.010577 149.37292 \r\n",
       "L 348.315245 124.094085 \r\n",
       "L 348.619913 138.886051 \r\n",
       "L 348.924582 125.474825 \r\n",
       "L 349.22925 159.032469 \r\n",
       "L 349.533918 161.72052 \r\n",
       "L 349.838586 129.748471 \r\n",
       "L 350.143255 127.000555 \r\n",
       "L 350.447923 128.137242 \r\n",
       "L 350.752591 139.568128 \r\n",
       "L 351.05726 174.645929 \r\n",
       "L 351.361928 124.344212 \r\n",
       "L 351.971265 163.734849 \r\n",
       "L 352.275933 129.760434 \r\n",
       "L 352.580601 142.55977 \r\n",
       "L 353.189938 144.287124 \r\n",
       "L 353.494606 130.513981 \r\n",
       "L 353.799274 129.921487 \r\n",
       "L 354.103943 146.221763 \r\n",
       "L 354.408611 136.722998 \r\n",
       "L 354.713279 152.271044 \r\n",
       "L 355.017948 151.938001 \r\n",
       "L 355.322616 137.201736 \r\n",
       "L 355.627284 129.431948 \r\n",
       "L 355.931953 159.69584 \r\n",
       "L 356.236621 137.201938 \r\n",
       "L 356.541289 146.984122 \r\n",
       "L 356.845957 163.566785 \r\n",
       "L 357.150626 171.363013 \r\n",
       "L 357.455294 150.023008 \r\n",
       "L 357.759962 148.01759 \r\n",
       "L 358.064631 156.124401 \r\n",
       "L 358.064631 156.124401 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 38.482813 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 373.282813 228.14 \r\n",
       "L 373.282813 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 373.282812 228.14 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 38.482813 10.7 \r\n",
       "L 373.282812 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p222a31eecb\">\r\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"38.482813\" y=\"10.7\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from IPython import display\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.utils.data\n",
    "display.set_matplotlib_formats('svg')   #displays matplotlib inline plots as 'svg' formats\n",
    "\n",
    "embedding = 4   # Embedding dimension for autoregressive model\n",
    "T = 1000        # Generate a total of 1000 points\n",
    "time = torch.arange(0.0,T)\n",
    "x = torch.sin(0.01 * time) + 0.2*torch.randn(T)\n",
    "plt.plot(time.numpy(), x.numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we need to turn this 'time series' into data the network can train on. Based on the embedding dimension $\\tau$ we map the data into pairs $y_t = x_t$ and $\\mathbf{z}_t = (x_{t-1}, \\ldots x_{t-\\tau})$. The astute reader might have noticed that this gives us $\\tau$ fewer datapoints, since we don't have sufficient history for the first $\\tau$ of them. A simple fix, in particular if the time series is long is to discard those few terms. Alternatively we could pad the time series with zeros. The code below is essentially identical to the training code in previous sections."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = torch.zeros((T-embedding, embedding))\n",
    "for i in range(embedding):\n",
    "    features[:,i] = x[i:T-embedding+i]\n",
    "labels = x[embedding:]\n",
    "\n",
    "ntrain = 600\n",
    "train_data = torch.utils.data.TensorDataset(features[:ntrain,:], labels[:ntrain])\n",
    "test_data = torch.utils.data.TensorDataset(features[ntrain:,:], labels[ntrain:])\n",
    "\n",
    "\n",
    "# Function for initializing the weights of net\n",
    "def init_weights(m):\n",
    "    if type(m) == nn.Linear:\n",
    "        torch.nn.init.xavier_uniform_(m.weight)\n",
    "\n",
    "# Vanilla MLP architecture\n",
    "def get_net():\n",
    "    net = nn.Sequential()\n",
    "    net.add_module('Linear_1', nn.Linear(4, 10, bias = False))\n",
    "    net.add_module('relu1', nn.ReLU())\n",
    "    net.add_module('Linear_2', nn.Linear(10, 10, bias = False))\n",
    "    net.add_module('relu2', nn.ReLU())\n",
    "    net.add_module('final', nn.Linear(10, 1, bias = False))\n",
    "    net.apply(init_weights)\n",
    "    return net\n",
    "\n",
    "loss = nn.MSELoss()     #L2 loss is known as MSELoss in Pytorch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We kept the architecture fairly simple. A few layers of a fully connected network, ReLU activation and $\\ell_2$ loss. Now we are ready to train."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1, loss: 11.260483\n",
      "epoch 2, loss: 1.930170\n",
      "epoch 3, loss: 1.908749\n",
      "epoch 4, loss: 1.972408\n",
      "epoch 5, loss: 1.884587\n",
      "epoch 6, loss: 1.865594\n",
      "epoch 7, loss: 1.837829\n",
      "epoch 8, loss: 1.849605\n",
      "epoch 9, loss: 1.820810\n",
      "epoch 10, loss: 1.887396\n",
      "test loss: 0.057453\n"
     ]
    }
   ],
   "source": [
    "# Simple optimizer using Adam, random shuffle, minibatch size 16\n",
    "def train_net(net, data, loss, epochs, learningrate):\n",
    "    batch_size = 16\n",
    "    trainer = torch.optim.Adam(net.parameters(), lr= learningrate)\n",
    "    data_iter = torch.utils.data.DataLoader(data, batch_size = batch_size, shuffle=True)\n",
    "    for epoch in range(1, epochs + 1):\n",
    "        running_loss = 0.0\n",
    "        for X, y in data_iter:\n",
    "            trainer.zero_grad()\n",
    "            output = net(X)\n",
    "            los = loss(output,y.reshape(-1,1))\n",
    "            los.backward()\n",
    "            trainer.step()\n",
    "            running_loss += los.item()\n",
    "        \n",
    "        print('epoch %d, loss: %f' % (epoch, running_loss))\n",
    "    return net\n",
    "\n",
    "net = get_net()\n",
    "net = train_net(net, train_data, loss, 10, 0.01)\n",
    "\n",
    "l = loss(net(test_data[:][0]), test_data[:][1].reshape(-1,1))\n",
    "print('test loss: %f' % l.mean().detach().numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The both training and test loss are small and we would expect our model to work well. Let’s see what this means in practice. The first thing to check is how well the model is able to predict what happens in the next timestep."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n",
       "<svg height=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 383.982812 252.018125\" width=\"383.982812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M -0 252.018125 \r\n",
       "L 383.982812 252.018125 \r\n",
       "L 383.982812 0 \r\n",
       "L -0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 373.282813 228.14 \r\n",
       "L 373.282813 10.7 \r\n",
       "L 38.482813 10.7 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 3.5 \r\n",
       "\" id=\"m7558e25a4a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"53.700994\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-30\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(50.519744 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"114.634655\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 200 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-32\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(105.090905 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"175.568316\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- 400 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-34\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(166.024566 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"236.501977\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 600 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-36\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(226.958227 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"297.435638\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 800 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-38\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(287.891888 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"358.369299\" xlink:href=\"#m7558e25a4a\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 1000 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-31\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(345.644299 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L -3.5 0 \r\n",
       "\" id=\"m425709139a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"218.561351\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- −1.5 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2212\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2e\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-35\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(7.2 222.36057)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"184.776987\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- −1.0 -->\r\n",
       "      <g transform=\"translate(7.2 188.576206)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"150.992623\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- −0.5 -->\r\n",
       "      <g transform=\"translate(7.2 154.791842)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"117.208259\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 0.0 -->\r\n",
       "      <g transform=\"translate(15.579688 121.007478)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"83.423895\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 0.5 -->\r\n",
       "      <g transform=\"translate(15.579688 87.223114)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"49.639531\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- 1.0 -->\r\n",
       "      <g transform=\"translate(15.579688 53.43875)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_7\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m425709139a\" y=\"15.855167\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_13\">\r\n",
       "      <!-- 1.5 -->\r\n",
       "      <g transform=\"translate(15.579688 19.654386)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\r\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_14\">\r\n",
       "    <path clip-path=\"url(#p2775bb892c)\" d=\"M 53.700994 102.79544 \r\n",
       "L 54.005663 107.295946 \r\n",
       "L 54.310331 100.668505 \r\n",
       "L 54.919668 136.109251 \r\n",
       "L 55.224336 126.563441 \r\n",
       "L 55.529004 111.666454 \r\n",
       "L 55.833672 104.599722 \r\n",
       "L 56.138341 112.560189 \r\n",
       "L 56.443009 106.467611 \r\n",
       "L 56.747677 92.461681 \r\n",
       "L 57.052346 132.387275 \r\n",
       "L 57.357014 119.575124 \r\n",
       "L 57.661682 84.849755 \r\n",
       "L 57.966351 115.910113 \r\n",
       "L 58.271019 120.474327 \r\n",
       "L 58.575687 107.765046 \r\n",
       "L 58.880355 107.75992 \r\n",
       "L 59.185024 126.753133 \r\n",
       "L 59.489692 89.618245 \r\n",
       "L 59.79436 121.751377 \r\n",
       "L 60.099029 104.485523 \r\n",
       "L 60.403697 97.743154 \r\n",
       "L 60.708365 105.557912 \r\n",
       "L 61.013034 105.363511 \r\n",
       "L 61.317702 93.447112 \r\n",
       "L 61.62237 107.741305 \r\n",
       "L 61.927039 72.431236 \r\n",
       "L 62.231707 90.893377 \r\n",
       "L 62.536375 81.457697 \r\n",
       "L 63.145712 82.858523 \r\n",
       "L 63.45038 111.003171 \r\n",
       "L 63.755048 105.838967 \r\n",
       "L 64.059717 92.773487 \r\n",
       "L 64.364385 91.746999 \r\n",
       "L 64.669053 110.474468 \r\n",
       "L 64.973722 89.231076 \r\n",
       "L 65.27839 80.43517 \r\n",
       "L 65.583058 99.157138 \r\n",
       "L 65.887727 96.841618 \r\n",
       "L 66.192395 79.378958 \r\n",
       "L 66.497063 98.654773 \r\n",
       "L 66.801731 75.282957 \r\n",
       "L 67.1064 81.337842 \r\n",
       "L 67.411068 64.965284 \r\n",
       "L 67.715736 97.894162 \r\n",
       "L 68.020405 93.871784 \r\n",
       "L 68.325073 106.787185 \r\n",
       "L 68.629741 56.318209 \r\n",
       "L 68.93441 56.451786 \r\n",
       "L 69.239078 89.238706 \r\n",
       "L 69.848414 79.356646 \r\n",
       "L 70.457751 49.363517 \r\n",
       "L 70.762419 81.072963 \r\n",
       "L 71.067088 56.338499 \r\n",
       "L 71.371756 80.70307 \r\n",
       "L 71.981093 71.243638 \r\n",
       "L 72.285761 85.003826 \r\n",
       "L 72.590429 106.066323 \r\n",
       "L 72.895098 54.875639 \r\n",
       "L 73.199766 85.087316 \r\n",
       "L 73.504434 56.582673 \r\n",
       "L 73.809102 68.904103 \r\n",
       "L 74.113771 96.73778 \r\n",
       "L 74.418439 72.453987 \r\n",
       "L 74.723107 66.240278 \r\n",
       "L 75.027776 76.583661 \r\n",
       "L 75.332444 81.12685 \r\n",
       "L 75.637112 63.326455 \r\n",
       "L 75.941781 71.131966 \r\n",
       "L 76.246449 85.233356 \r\n",
       "L 76.551117 79.70101 \r\n",
       "L 76.855785 78.259636 \r\n",
       "L 77.160454 93.533786 \r\n",
       "L 77.465122 82.098011 \r\n",
       "L 77.76979 48.961509 \r\n",
       "L 78.074459 48.012031 \r\n",
       "L 78.379127 56.642363 \r\n",
       "L 78.683795 72.082205 \r\n",
       "L 78.988464 45.56641 \r\n",
       "L 79.293132 69.883267 \r\n",
       "L 79.5978 61.772378 \r\n",
       "L 79.902469 49.691227 \r\n",
       "L 80.207137 52.433482 \r\n",
       "L 80.816473 65.1134 \r\n",
       "L 81.121142 56.667128 \r\n",
       "L 81.42581 39.285616 \r\n",
       "L 81.730478 82.867436 \r\n",
       "L 82.035147 52.596927 \r\n",
       "L 82.339815 79.683108 \r\n",
       "L 82.644483 69.361843 \r\n",
       "L 82.949152 54.427078 \r\n",
       "L 83.25382 49.263017 \r\n",
       "L 83.558488 64.701827 \r\n",
       "L 83.863156 62.031827 \r\n",
       "L 84.167825 65.036956 \r\n",
       "L 84.472493 60.353199 \r\n",
       "L 84.777161 64.883133 \r\n",
       "L 85.08183 75.979522 \r\n",
       "L 85.691166 25.419831 \r\n",
       "L 85.995835 38.708858 \r\n",
       "L 86.300503 58.700342 \r\n",
       "L 86.605171 68.38963 \r\n",
       "L 86.90984 59.877646 \r\n",
       "L 87.214508 59.170401 \r\n",
       "L 87.519176 70.553738 \r\n",
       "L 87.823844 66.923423 \r\n",
       "L 88.128513 58.237298 \r\n",
       "L 88.433181 64.649849 \r\n",
       "L 88.737849 51.031243 \r\n",
       "L 89.042518 52.909313 \r\n",
       "L 89.347186 28.818159 \r\n",
       "L 89.651854 60.543784 \r\n",
       "L 89.956523 67.167903 \r\n",
       "L 90.261191 54.212772 \r\n",
       "L 90.565859 84.991593 \r\n",
       "L 90.870527 45.720442 \r\n",
       "L 91.175196 30.927451 \r\n",
       "L 91.479864 63.593411 \r\n",
       "L 91.784532 64.741066 \r\n",
       "L 92.089201 41.689254 \r\n",
       "L 92.393869 64.94462 \r\n",
       "L 92.698537 37.552234 \r\n",
       "L 93.003206 41.113601 \r\n",
       "L 93.307874 51.249561 \r\n",
       "L 93.917211 41.854652 \r\n",
       "L 94.221879 44.003839 \r\n",
       "L 94.526547 33.598623 \r\n",
       "L 94.831215 78.097428 \r\n",
       "L 95.135884 70.385711 \r\n",
       "L 95.440552 49.844361 \r\n",
       "L 95.74522 58.603144 \r\n",
       "L 96.049889 93.305689 \r\n",
       "L 96.354557 45.128679 \r\n",
       "L 96.659225 55.772 \r\n",
       "L 96.963894 51.5851 \r\n",
       "L 97.268562 56.226203 \r\n",
       "L 97.57323 53.434519 \r\n",
       "L 97.877898 58.149618 \r\n",
       "L 98.182567 49.027606 \r\n",
       "L 98.487235 45.641803 \r\n",
       "L 98.791903 48.517913 \r\n",
       "L 99.096572 53.053772 \r\n",
       "L 99.40124 51.960636 \r\n",
       "L 99.705908 38.697517 \r\n",
       "L 100.010577 58.327597 \r\n",
       "L 100.315245 40.03643 \r\n",
       "L 100.619913 52.930928 \r\n",
       "L 100.924582 57.561511 \r\n",
       "L 101.533918 39.169731 \r\n",
       "L 101.838586 42.518128 \r\n",
       "L 102.143255 44.005764 \r\n",
       "L 102.447923 90.210149 \r\n",
       "L 102.752591 21.971724 \r\n",
       "L 103.05726 44.44981 \r\n",
       "L 103.361928 56.637712 \r\n",
       "L 103.666596 43.500494 \r\n",
       "L 103.971265 68.10983 \r\n",
       "L 104.275933 43.760632 \r\n",
       "L 104.580601 68.039841 \r\n",
       "L 104.88527 64.72958 \r\n",
       "L 105.189938 54.786154 \r\n",
       "L 105.799274 70.284236 \r\n",
       "L 106.103943 67.521014 \r\n",
       "L 106.408611 36.75873 \r\n",
       "L 106.713279 41.454118 \r\n",
       "L 107.017948 55.124912 \r\n",
       "L 107.322616 40.505945 \r\n",
       "L 107.627284 64.611227 \r\n",
       "L 107.931953 20.583636 \r\n",
       "L 108.236621 68.101239 \r\n",
       "L 108.541289 43.955841 \r\n",
       "L 108.845957 59.829789 \r\n",
       "L 109.150626 46.011995 \r\n",
       "L 109.455294 61.974807 \r\n",
       "L 109.759962 58.530059 \r\n",
       "L 110.064631 45.523993 \r\n",
       "L 110.369299 48.022558 \r\n",
       "L 110.673967 34.003563 \r\n",
       "L 110.978636 31.44155 \r\n",
       "L 111.587972 37.055252 \r\n",
       "L 111.892641 44.872753 \r\n",
       "L 112.197309 28.069367 \r\n",
       "L 112.501977 64.464166 \r\n",
       "L 112.806645 32.343271 \r\n",
       "L 113.111314 41.015445 \r\n",
       "L 113.415982 30.182066 \r\n",
       "L 114.025319 62.839859 \r\n",
       "L 114.329987 44.78647 \r\n",
       "L 114.634655 35.035345 \r\n",
       "L 114.939324 70.250503 \r\n",
       "L 115.243992 69.905527 \r\n",
       "L 115.54866 68.557428 \r\n",
       "L 115.853328 43.872377 \r\n",
       "L 116.157997 44.089865 \r\n",
       "L 116.462665 39.981826 \r\n",
       "L 116.767333 68.832552 \r\n",
       "L 117.37667 59.735201 \r\n",
       "L 117.681338 91.199223 \r\n",
       "L 117.986007 55.686317 \r\n",
       "L 118.290675 73.734599 \r\n",
       "L 118.900012 44.59114 \r\n",
       "L 119.20468 73.498806 \r\n",
       "L 119.509348 49.289058 \r\n",
       "L 119.814016 66.789181 \r\n",
       "L 120.118685 67.072103 \r\n",
       "L 120.423353 39.121555 \r\n",
       "L 120.728021 76.402984 \r\n",
       "L 121.03269 80.925838 \r\n",
       "L 121.337358 43.706818 \r\n",
       "L 121.642026 64.589696 \r\n",
       "L 121.946695 77.067265 \r\n",
       "L 122.251363 51.580811 \r\n",
       "L 122.556031 60.944491 \r\n",
       "L 122.860699 85.428508 \r\n",
       "L 123.470036 41.684309 \r\n",
       "L 123.774704 64.083724 \r\n",
       "L 124.079373 76.756985 \r\n",
       "L 124.384041 76.001278 \r\n",
       "L 124.688709 74.29022 \r\n",
       "L 124.993378 79.002641 \r\n",
       "L 125.602714 50.232595 \r\n",
       "L 126.212051 59.869136 \r\n",
       "L 126.516719 69.494284 \r\n",
       "L 126.821387 65.512674 \r\n",
       "L 127.126056 65.495952 \r\n",
       "L 127.430724 67.979188 \r\n",
       "L 127.735392 81.067691 \r\n",
       "L 128.040061 86.532621 \r\n",
       "L 128.344729 47.74896 \r\n",
       "L 128.649397 54.652617 \r\n",
       "L 128.954066 90.784837 \r\n",
       "L 129.258734 79.196009 \r\n",
       "L 129.563402 77.085606 \r\n",
       "L 129.86807 94.059558 \r\n",
       "L 130.172739 70.689265 \r\n",
       "L 130.477407 78.171109 \r\n",
       "L 130.782075 78.608176 \r\n",
       "L 131.086744 77.002528 \r\n",
       "L 131.391412 82.927388 \r\n",
       "L 131.69608 79.364902 \r\n",
       "L 132.000749 79.990766 \r\n",
       "L 132.305417 78.612795 \r\n",
       "L 132.610085 92.420479 \r\n",
       "L 132.914754 73.661739 \r\n",
       "L 133.52409 80.963035 \r\n",
       "L 133.828758 73.690096 \r\n",
       "L 134.133427 97.354586 \r\n",
       "L 134.438095 79.445716 \r\n",
       "L 134.742763 90.695112 \r\n",
       "L 135.047432 86.988377 \r\n",
       "L 135.3521 80.151117 \r\n",
       "L 135.656768 103.521572 \r\n",
       "L 135.961437 76.953128 \r\n",
       "L 136.266105 99.671841 \r\n",
       "L 136.570773 67.201133 \r\n",
       "L 136.875441 93.635542 \r\n",
       "L 137.18011 58.507944 \r\n",
       "L 137.484778 84.795289 \r\n",
       "L 137.789446 90.57545 \r\n",
       "L 138.094115 84.707129 \r\n",
       "L 138.398783 98.507796 \r\n",
       "L 138.703451 79.968103 \r\n",
       "L 139.00812 104.350095 \r\n",
       "L 139.312788 114.622638 \r\n",
       "L 139.617456 87.635195 \r\n",
       "L 139.922125 119.551074 \r\n",
       "L 140.226793 86.796799 \r\n",
       "L 140.531461 115.313971 \r\n",
       "L 140.836129 104.966064 \r\n",
       "L 141.140798 107.008747 \r\n",
       "L 141.445466 102.268556 \r\n",
       "L 141.750134 124.594981 \r\n",
       "L 142.054803 94.207912 \r\n",
       "L 142.359471 97.084749 \r\n",
       "L 142.664139 114.852898 \r\n",
       "L 142.968808 110.989241 \r\n",
       "L 143.273476 100.183152 \r\n",
       "L 143.578144 100.183722 \r\n",
       "L 143.882812 124.945862 \r\n",
       "L 144.187481 101.17346 \r\n",
       "L 144.492149 134.426891 \r\n",
       "L 144.796817 126.392648 \r\n",
       "L 145.101486 101.875716 \r\n",
       "L 145.406154 116.605341 \r\n",
       "L 145.710822 105.834849 \r\n",
       "L 146.015491 108.605097 \r\n",
       "L 146.320159 125.060821 \r\n",
       "L 146.624827 123.360547 \r\n",
       "L 147.234164 95.776727 \r\n",
       "L 147.538832 117.256893 \r\n",
       "L 147.8435 106.155968 \r\n",
       "L 148.148169 127.60997 \r\n",
       "L 148.452837 103.861398 \r\n",
       "L 148.757505 111.273261 \r\n",
       "L 149.062174 139.25227 \r\n",
       "L 149.366842 137.164459 \r\n",
       "L 149.67151 115.877006 \r\n",
       "L 149.976179 122.07028 \r\n",
       "L 150.280847 136.093768 \r\n",
       "L 150.585515 105.552952 \r\n",
       "L 150.890184 108.533837 \r\n",
       "L 151.194852 120.895969 \r\n",
       "L 151.49952 119.858612 \r\n",
       "L 151.804188 133.212968 \r\n",
       "L 152.108857 115.910556 \r\n",
       "L 152.413525 113.807672 \r\n",
       "L 152.718193 107.75035 \r\n",
       "L 153.022862 134.805743 \r\n",
       "L 153.32753 115.450727 \r\n",
       "L 153.632198 126.379654 \r\n",
       "L 153.936867 119.240601 \r\n",
       "L 154.241535 91.569916 \r\n",
       "L 154.546203 123.856536 \r\n",
       "L 154.850871 111.615527 \r\n",
       "L 155.15554 135.079051 \r\n",
       "L 155.460208 112.442915 \r\n",
       "L 155.764876 102.758814 \r\n",
       "L 156.069545 103.57346 \r\n",
       "L 156.374213 115.092037 \r\n",
       "L 156.678881 147.267297 \r\n",
       "L 156.98355 135.186316 \r\n",
       "L 157.288218 146.780846 \r\n",
       "L 157.592886 127.540636 \r\n",
       "L 157.897555 129.128225 \r\n",
       "L 158.202223 127.112374 \r\n",
       "L 158.506891 128.615438 \r\n",
       "L 158.811559 123.050556 \r\n",
       "L 159.116228 135.197431 \r\n",
       "L 159.420896 139.718209 \r\n",
       "L 159.725564 131.910281 \r\n",
       "L 160.030233 113.980771 \r\n",
       "L 160.334901 150.863333 \r\n",
       "L 160.639569 151.434213 \r\n",
       "L 160.944238 128.41214 \r\n",
       "L 161.553574 158.33205 \r\n",
       "L 161.858242 134.312376 \r\n",
       "L 162.467579 155.086856 \r\n",
       "L 162.772247 132.472344 \r\n",
       "L 163.076916 160.165042 \r\n",
       "L 163.381584 168.948146 \r\n",
       "L 163.686252 139.794498 \r\n",
       "L 163.990921 150.526155 \r\n",
       "L 164.295589 167.204986 \r\n",
       "L 164.600257 162.24888 \r\n",
       "L 164.904926 161.962994 \r\n",
       "L 165.209594 143.345172 \r\n",
       "L 165.514262 165.046718 \r\n",
       "L 165.81893 137.475604 \r\n",
       "L 166.428267 150.243944 \r\n",
       "L 166.732935 146.156461 \r\n",
       "L 167.037604 157.238995 \r\n",
       "L 167.342272 197.825071 \r\n",
       "L 167.64694 163.284428 \r\n",
       "L 167.951609 172.696944 \r\n",
       "L 168.256277 160.587517 \r\n",
       "L 168.560945 155.723718 \r\n",
       "L 168.865613 157.116892 \r\n",
       "L 169.170282 163.194737 \r\n",
       "L 169.47495 158.527537 \r\n",
       "L 169.779618 147.987744 \r\n",
       "L 170.084287 146.688486 \r\n",
       "L 170.388955 166.06299 \r\n",
       "L 170.693623 159.722272 \r\n",
       "L 170.998292 168.14411 \r\n",
       "L 171.30296 165.123379 \r\n",
       "L 171.607628 167.506672 \r\n",
       "L 171.912297 164.927462 \r\n",
       "L 172.216965 164.446219 \r\n",
       "L 172.521633 167.302087 \r\n",
       "L 172.826301 156.587485 \r\n",
       "L 173.13097 158.050816 \r\n",
       "L 173.435638 177.175492 \r\n",
       "L 173.740306 152.491649 \r\n",
       "L 174.044975 166.200724 \r\n",
       "L 174.654311 174.356068 \r\n",
       "L 174.95898 195.287408 \r\n",
       "L 175.263648 166.190341 \r\n",
       "L 175.568316 174.697355 \r\n",
       "L 175.872984 157.775386 \r\n",
       "L 176.177653 161.723834 \r\n",
       "L 176.482321 180.614494 \r\n",
       "L 176.786989 161.082912 \r\n",
       "L 177.091658 166.627009 \r\n",
       "L 177.700994 186.981777 \r\n",
       "L 178.005663 190.345687 \r\n",
       "L 178.310331 165.377356 \r\n",
       "L 178.919668 172.475912 \r\n",
       "L 179.224336 149.50107 \r\n",
       "L 179.529004 188.966307 \r\n",
       "L 180.138341 175.963218 \r\n",
       "L 180.443009 189.990172 \r\n",
       "L 180.747677 170.374566 \r\n",
       "L 181.052346 188.234495 \r\n",
       "L 181.357014 178.383148 \r\n",
       "L 181.661682 162.566779 \r\n",
       "L 181.966351 167.335088 \r\n",
       "L 182.271019 177.823563 \r\n",
       "L 182.575687 174.916236 \r\n",
       "L 182.880355 183.820147 \r\n",
       "L 183.185024 181.618004 \r\n",
       "L 183.489692 181.542135 \r\n",
       "L 183.79436 186.288305 \r\n",
       "L 184.099029 179.068291 \r\n",
       "L 184.403697 177.245235 \r\n",
       "L 184.708365 161.004169 \r\n",
       "L 185.013034 194.464133 \r\n",
       "L 185.317702 187.252838 \r\n",
       "L 185.62237 202.892986 \r\n",
       "L 185.927039 189.522259 \r\n",
       "L 186.231707 156.581702 \r\n",
       "L 186.536375 180.140069 \r\n",
       "L 186.841043 176.545537 \r\n",
       "L 187.145712 154.193456 \r\n",
       "L 187.45038 191.509721 \r\n",
       "L 187.755048 184.927129 \r\n",
       "L 188.059717 186.788671 \r\n",
       "L 188.364385 197.512149 \r\n",
       "L 188.669053 168.179245 \r\n",
       "L 188.973722 164.285404 \r\n",
       "L 189.27839 190.917595 \r\n",
       "L 189.583058 181.659567 \r\n",
       "L 189.887727 190.409159 \r\n",
       "L 190.192395 187.736658 \r\n",
       "L 190.497063 190.758916 \r\n",
       "L 190.801731 187.141794 \r\n",
       "L 191.1064 165.870746 \r\n",
       "L 191.411068 197.764563 \r\n",
       "L 191.715736 177.084844 \r\n",
       "L 192.020405 195.330606 \r\n",
       "L 192.325073 183.651797 \r\n",
       "L 192.629741 161.110766 \r\n",
       "L 192.93441 198.511438 \r\n",
       "L 193.239078 176.734282 \r\n",
       "L 193.543746 177.255847 \r\n",
       "L 193.848414 165.093093 \r\n",
       "L 194.153083 186.859279 \r\n",
       "L 194.457751 179.600585 \r\n",
       "L 194.762419 176.124999 \r\n",
       "L 195.067088 177.508104 \r\n",
       "L 195.371756 193.343031 \r\n",
       "L 195.676424 170.512139 \r\n",
       "L 195.981093 178.947166 \r\n",
       "L 196.285761 213.445059 \r\n",
       "L 196.895098 170.07444 \r\n",
       "L 197.199766 187.704238 \r\n",
       "L 197.504434 178.155261 \r\n",
       "L 197.809102 181.758931 \r\n",
       "L 198.113771 194.380902 \r\n",
       "L 198.418439 190.372703 \r\n",
       "L 198.723107 194.37176 \r\n",
       "L 199.027776 176.09698 \r\n",
       "L 199.332444 179.740159 \r\n",
       "L 199.637112 174.269893 \r\n",
       "L 199.941781 176.248471 \r\n",
       "L 200.246449 187.029695 \r\n",
       "L 200.551117 182.550812 \r\n",
       "L 200.855785 168.378642 \r\n",
       "L 201.160454 199.519088 \r\n",
       "L 201.465122 195.485065 \r\n",
       "L 202.074459 157.646525 \r\n",
       "L 202.379127 193.694205 \r\n",
       "L 202.988464 175.105798 \r\n",
       "L 203.293132 200.291553 \r\n",
       "L 203.5978 193.37438 \r\n",
       "L 203.902469 165.552137 \r\n",
       "L 204.207137 192.382002 \r\n",
       "L 204.511805 170.342198 \r\n",
       "L 204.816473 173.981478 \r\n",
       "L 205.121142 181.635326 \r\n",
       "L 205.42581 198.228505 \r\n",
       "L 205.730478 183.964268 \r\n",
       "L 206.035147 185.766103 \r\n",
       "L 206.339815 165.329148 \r\n",
       "L 206.644483 218.256364 \r\n",
       "L 207.25382 156.405704 \r\n",
       "L 207.558488 170.076711 \r\n",
       "L 207.863156 172.230034 \r\n",
       "L 208.167825 183.79711 \r\n",
       "L 208.472493 164.111779 \r\n",
       "L 209.08183 194.552414 \r\n",
       "L 209.386498 161.789159 \r\n",
       "L 209.691166 153.77206 \r\n",
       "L 209.995835 194.936194 \r\n",
       "L 210.300503 194.319339 \r\n",
       "L 210.605171 171.254177 \r\n",
       "L 210.90984 175.775839 \r\n",
       "L 211.214508 172.444933 \r\n",
       "L 211.519176 186.162199 \r\n",
       "L 211.823844 175.27406 \r\n",
       "L 212.128513 184.104293 \r\n",
       "L 212.433181 174.188729 \r\n",
       "L 212.737849 186.074579 \r\n",
       "L 213.042518 169.806718 \r\n",
       "L 213.651854 179.394986 \r\n",
       "L 213.956523 178.647603 \r\n",
       "L 214.261191 168.651705 \r\n",
       "L 214.565859 181.846458 \r\n",
       "L 214.870527 184.102477 \r\n",
       "L 215.175196 175.259037 \r\n",
       "L 215.784532 173.733136 \r\n",
       "L 216.393869 166.660742 \r\n",
       "L 216.698537 167.817535 \r\n",
       "L 217.003206 161.110013 \r\n",
       "L 217.307874 159.950248 \r\n",
       "L 217.612542 171.300758 \r\n",
       "L 217.917211 166.212335 \r\n",
       "L 218.221879 178.181495 \r\n",
       "L 218.526547 162.092093 \r\n",
       "L 218.831215 188.646998 \r\n",
       "L 219.135884 172.305786 \r\n",
       "L 219.440552 185.172737 \r\n",
       "L 219.74522 170.672989 \r\n",
       "L 220.049889 150.392688 \r\n",
       "L 220.354557 157.419955 \r\n",
       "L 220.659225 167.35332 \r\n",
       "L 220.963894 185.195177 \r\n",
       "L 221.268562 167.391476 \r\n",
       "L 221.57323 161.170702 \r\n",
       "L 221.877898 172.773042 \r\n",
       "L 222.182567 170.125688 \r\n",
       "L 222.487235 180.627088 \r\n",
       "L 222.791903 151.640726 \r\n",
       "L 223.096572 155.385944 \r\n",
       "L 223.40124 156.401177 \r\n",
       "L 224.010577 139.61675 \r\n",
       "L 224.315245 173.75016 \r\n",
       "L 224.619913 144.923691 \r\n",
       "L 224.924582 181.972347 \r\n",
       "L 225.22925 162.657996 \r\n",
       "L 225.533918 156.227644 \r\n",
       "L 225.838586 156.876476 \r\n",
       "L 226.143255 168.336894 \r\n",
       "L 226.447923 171.190117 \r\n",
       "L 226.752591 162.114413 \r\n",
       "L 227.05726 124.122267 \r\n",
       "L 227.361928 137.190884 \r\n",
       "L 227.666596 164.083546 \r\n",
       "L 227.971265 161.793565 \r\n",
       "L 228.275933 153.518808 \r\n",
       "L 228.580601 161.084544 \r\n",
       "L 228.88527 125.87613 \r\n",
       "L 229.189938 118.431372 \r\n",
       "L 229.494606 133.529014 \r\n",
       "L 229.799274 131.066964 \r\n",
       "L 230.103943 176.994307 \r\n",
       "L 230.408611 154.096153 \r\n",
       "L 230.713279 155.777513 \r\n",
       "L 231.017948 172.0317 \r\n",
       "L 231.322616 153.462054 \r\n",
       "L 231.627284 154.335668 \r\n",
       "L 231.931953 134.407781 \r\n",
       "L 232.236621 132.131524 \r\n",
       "L 232.541289 133.143225 \r\n",
       "L 232.845957 177.392916 \r\n",
       "L 233.150626 133.864808 \r\n",
       "L 233.455294 140.827364 \r\n",
       "L 233.759962 134.721693 \r\n",
       "L 234.064631 126.305299 \r\n",
       "L 234.369299 143.76603 \r\n",
       "L 234.673967 125.568576 \r\n",
       "L 234.978636 128.090622 \r\n",
       "L 235.283304 148.348705 \r\n",
       "L 235.587972 147.130196 \r\n",
       "L 235.892641 151.087155 \r\n",
       "L 236.197309 140.709951 \r\n",
       "L 236.501977 122.919214 \r\n",
       "L 236.806645 154.623664 \r\n",
       "L 237.111314 139.52701 \r\n",
       "L 237.415982 118.206483 \r\n",
       "L 237.72065 140.456367 \r\n",
       "L 238.025319 143.120432 \r\n",
       "L 238.329987 122.721326 \r\n",
       "L 238.634655 127.18064 \r\n",
       "L 238.939324 134.458587 \r\n",
       "L 239.243992 114.399642 \r\n",
       "L 239.54866 121.922513 \r\n",
       "L 239.853328 142.785817 \r\n",
       "L 240.157997 130.236715 \r\n",
       "L 240.462665 152.388193 \r\n",
       "L 240.767333 135.440205 \r\n",
       "L 241.072002 139.198301 \r\n",
       "L 241.37667 106.096953 \r\n",
       "L 241.681338 134.228144 \r\n",
       "L 241.986007 150.746681 \r\n",
       "L 242.595343 122.290002 \r\n",
       "L 242.900012 123.226216 \r\n",
       "L 243.20468 112.299047 \r\n",
       "L 243.509348 116.15094 \r\n",
       "L 243.814016 137.56253 \r\n",
       "L 244.118685 108.157038 \r\n",
       "L 244.423353 109.479899 \r\n",
       "L 244.728021 129.853361 \r\n",
       "L 245.03269 116.571525 \r\n",
       "L 245.642026 153.577467 \r\n",
       "L 245.946695 118.100005 \r\n",
       "L 246.251363 120.10397 \r\n",
       "L 246.556031 99.517828 \r\n",
       "L 246.860699 124.720319 \r\n",
       "L 247.165368 104.949165 \r\n",
       "L 247.470036 112.069047 \r\n",
       "L 247.774704 91.169525 \r\n",
       "L 248.079373 135.345519 \r\n",
       "L 248.384041 78.702542 \r\n",
       "L 248.993378 120.521032 \r\n",
       "L 249.298046 121.390488 \r\n",
       "L 249.602714 105.134362 \r\n",
       "L 249.907383 126.027008 \r\n",
       "L 250.516719 88.240963 \r\n",
       "L 250.821387 117.229368 \r\n",
       "L 251.126056 89.960869 \r\n",
       "L 251.430724 98.194252 \r\n",
       "L 251.735392 75.084885 \r\n",
       "L 252.040061 106.404208 \r\n",
       "L 252.344729 113.296346 \r\n",
       "L 252.649397 72.503653 \r\n",
       "L 253.258734 91.780632 \r\n",
       "L 253.563402 91.738898 \r\n",
       "L 253.86807 108.738343 \r\n",
       "L 254.477407 84.48846 \r\n",
       "L 254.782075 98.795512 \r\n",
       "L 255.086744 93.870824 \r\n",
       "L 255.391412 92.143532 \r\n",
       "L 255.69608 77.715247 \r\n",
       "L 256.000749 87.485085 \r\n",
       "L 256.305417 112.965201 \r\n",
       "L 256.610085 77.570167 \r\n",
       "L 256.914754 98.132655 \r\n",
       "L 257.219422 97.967646 \r\n",
       "L 257.52409 89.15051 \r\n",
       "L 258.133427 105.768225 \r\n",
       "L 258.438095 81.02171 \r\n",
       "L 258.742763 83.311551 \r\n",
       "L 259.047432 73.282478 \r\n",
       "L 259.3521 80.066912 \r\n",
       "L 259.656768 74.13175 \r\n",
       "L 259.961437 91.155463 \r\n",
       "L 260.266105 66.844143 \r\n",
       "L 260.875441 96.273512 \r\n",
       "L 261.18011 83.623075 \r\n",
       "L 261.484778 77.533035 \r\n",
       "L 261.789446 102.426188 \r\n",
       "L 262.094115 102.35085 \r\n",
       "L 262.398783 78.475831 \r\n",
       "L 262.703451 104.534658 \r\n",
       "L 263.00812 97.04732 \r\n",
       "L 263.312788 63.340603 \r\n",
       "L 263.617456 79.817917 \r\n",
       "L 263.922125 77.960266 \r\n",
       "L 264.226793 102.931429 \r\n",
       "L 264.836129 65.425283 \r\n",
       "L 265.140798 86.892085 \r\n",
       "L 265.445466 88.584991 \r\n",
       "L 265.750134 75.067603 \r\n",
       "L 266.054803 88.268873 \r\n",
       "L 266.359471 76.981642 \r\n",
       "L 266.664139 71.320876 \r\n",
       "L 266.968808 74.397124 \r\n",
       "L 267.273476 81.419993 \r\n",
       "L 267.578144 78.897799 \r\n",
       "L 267.882812 81.963057 \r\n",
       "L 268.187481 107.744498 \r\n",
       "L 268.492149 78.89359 \r\n",
       "L 268.796817 70.41261 \r\n",
       "L 269.101486 80.678909 \r\n",
       "L 269.406154 77.883838 \r\n",
       "L 269.710822 68.460021 \r\n",
       "L 270.015491 76.924557 \r\n",
       "L 270.320159 42.62777 \r\n",
       "L 270.624827 60.659399 \r\n",
       "L 270.929496 58.599806 \r\n",
       "L 271.234164 61.676296 \r\n",
       "L 271.538832 54.499801 \r\n",
       "L 271.8435 74.767038 \r\n",
       "L 272.148169 79.363098 \r\n",
       "L 272.452837 70.807715 \r\n",
       "L 272.757505 80.049771 \r\n",
       "L 273.062174 52.457107 \r\n",
       "L 273.366842 67.370095 \r\n",
       "L 273.67151 67.6083 \r\n",
       "L 273.976179 68.347801 \r\n",
       "L 274.280847 38.032632 \r\n",
       "L 274.585515 62.000361 \r\n",
       "L 274.890184 45.463179 \r\n",
       "L 275.194852 63.620242 \r\n",
       "L 275.49952 42.798701 \r\n",
       "L 275.804188 49.590187 \r\n",
       "L 276.108857 74.189588 \r\n",
       "L 276.413525 83.542694 \r\n",
       "L 276.718193 65.683367 \r\n",
       "L 277.022862 69.026098 \r\n",
       "L 277.32753 49.351555 \r\n",
       "L 277.632198 47.536015 \r\n",
       "L 277.936867 48.34198 \r\n",
       "L 278.241535 63.976068 \r\n",
       "L 278.546203 86.424362 \r\n",
       "L 278.850871 39.594486 \r\n",
       "L 279.15554 45.728207 \r\n",
       "L 279.460208 55.76202 \r\n",
       "L 279.764876 59.730694 \r\n",
       "L 280.069545 40.546284 \r\n",
       "L 280.678881 57.127546 \r\n",
       "L 280.98355 39.579496 \r\n",
       "L 281.288218 37.972938 \r\n",
       "L 281.592886 72.09059 \r\n",
       "L 281.897555 53.524339 \r\n",
       "L 282.202223 57.790783 \r\n",
       "L 282.506891 58.642762 \r\n",
       "L 282.811559 54.461726 \r\n",
       "L 283.116228 46.795841 \r\n",
       "L 283.420896 57.909 \r\n",
       "L 283.725564 80.736163 \r\n",
       "L 284.030233 74.397503 \r\n",
       "L 284.334901 54.976325 \r\n",
       "L 284.639569 70.494286 \r\n",
       "L 285.248906 37.702763 \r\n",
       "L 285.553574 39.995592 \r\n",
       "L 285.858242 32.78271 \r\n",
       "L 286.162911 57.221163 \r\n",
       "L 286.467579 41.598887 \r\n",
       "L 286.772247 53.724436 \r\n",
       "L 287.076916 52.881093 \r\n",
       "L 287.381584 58.094454 \r\n",
       "L 287.686252 49.334882 \r\n",
       "L 287.990921 63.618087 \r\n",
       "L 288.295589 33.718567 \r\n",
       "L 288.600257 57.975086 \r\n",
       "L 288.904926 40.751553 \r\n",
       "L 289.209594 43.17404 \r\n",
       "L 289.514262 62.385398 \r\n",
       "L 289.81893 53.500444 \r\n",
       "L 290.123599 40.527613 \r\n",
       "L 290.428267 44.983466 \r\n",
       "L 290.732935 52.407888 \r\n",
       "L 291.037604 69.229586 \r\n",
       "L 291.342272 43.780447 \r\n",
       "L 291.64694 60.933363 \r\n",
       "L 291.951609 35.598111 \r\n",
       "L 292.256277 42.218529 \r\n",
       "L 292.560945 65.527817 \r\n",
       "L 292.865613 26.941338 \r\n",
       "L 293.170282 39.109465 \r\n",
       "L 293.47495 44.715716 \r\n",
       "L 293.779618 56.571207 \r\n",
       "L 294.084287 63.788543 \r\n",
       "L 294.388955 49.654839 \r\n",
       "L 294.693623 62.375716 \r\n",
       "L 294.998292 45.296155 \r\n",
       "L 295.30296 56.412209 \r\n",
       "L 295.607628 33.136638 \r\n",
       "L 295.912297 49.956206 \r\n",
       "L 296.216965 57.162258 \r\n",
       "L 296.521633 37.012449 \r\n",
       "L 296.826301 70.748158 \r\n",
       "L 297.13097 39.826239 \r\n",
       "L 297.435638 26.501174 \r\n",
       "L 297.740306 60.316807 \r\n",
       "L 298.044975 48.275028 \r\n",
       "L 298.349643 31.695526 \r\n",
       "L 298.654311 82.520974 \r\n",
       "L 298.95898 38.641866 \r\n",
       "L 299.263648 52.640274 \r\n",
       "L 299.568316 39.708445 \r\n",
       "L 299.872984 61.970204 \r\n",
       "L 300.177653 58.504275 \r\n",
       "L 300.482321 67.020806 \r\n",
       "L 300.786989 70.571052 \r\n",
       "L 301.091658 27.133631 \r\n",
       "L 301.396326 49.704135 \r\n",
       "L 301.700994 61.206345 \r\n",
       "L 302.005663 52.540668 \r\n",
       "L 302.310331 60.034071 \r\n",
       "L 302.614999 48.478751 \r\n",
       "L 302.919668 48.246684 \r\n",
       "L 303.224336 50.248967 \r\n",
       "L 303.529004 40.416424 \r\n",
       "L 303.833672 57.388421 \r\n",
       "L 304.138341 86.236584 \r\n",
       "L 304.443009 29.590246 \r\n",
       "L 304.747677 72.185826 \r\n",
       "L 305.052346 29.739889 \r\n",
       "L 305.357014 51.357072 \r\n",
       "L 305.661682 82.978021 \r\n",
       "L 305.966351 44.487861 \r\n",
       "L 306.271019 36.992513 \r\n",
       "L 306.880355 51.558012 \r\n",
       "L 307.185024 43.890145 \r\n",
       "L 307.489692 95.807307 \r\n",
       "L 307.79436 45.441987 \r\n",
       "L 308.099029 55.74852 \r\n",
       "L 308.403697 25.865335 \r\n",
       "L 308.708365 47.65049 \r\n",
       "L 309.013034 48.821024 \r\n",
       "L 309.317702 78.555554 \r\n",
       "L 309.927039 41.375769 \r\n",
       "L 310.231707 51.655874 \r\n",
       "L 310.536375 53.332606 \r\n",
       "L 310.841043 56.653447 \r\n",
       "L 311.145712 49.239118 \r\n",
       "L 311.45038 54.470784 \r\n",
       "L 311.755048 43.111164 \r\n",
       "L 312.059717 76.411707 \r\n",
       "L 312.364385 73.328628 \r\n",
       "L 312.669053 71.525065 \r\n",
       "L 312.973722 58.919018 \r\n",
       "L 313.27839 67.847685 \r\n",
       "L 313.887727 37.747636 \r\n",
       "L 314.192395 38.119076 \r\n",
       "L 314.497063 56.851318 \r\n",
       "L 314.801731 66.196612 \r\n",
       "L 315.1064 79.660913 \r\n",
       "L 315.411068 67.402814 \r\n",
       "L 315.715736 72.500544 \r\n",
       "L 316.020405 94.496466 \r\n",
       "L 316.325073 52.53925 \r\n",
       "L 316.629741 68.5087 \r\n",
       "L 316.93441 72.029748 \r\n",
       "L 317.239078 67.626536 \r\n",
       "L 317.543746 79.33518 \r\n",
       "L 317.848414 61.856949 \r\n",
       "L 318.153083 63.806268 \r\n",
       "L 318.457751 69.400598 \r\n",
       "L 318.762419 60.357992 \r\n",
       "L 319.067088 73.769569 \r\n",
       "L 319.371756 65.68114 \r\n",
       "L 319.676424 62.431818 \r\n",
       "L 319.981093 87.650557 \r\n",
       "L 320.590429 47.338422 \r\n",
       "L 320.895098 85.265414 \r\n",
       "L 321.199766 70.704452 \r\n",
       "L 321.504434 62.329187 \r\n",
       "L 322.418439 91.795564 \r\n",
       "L 322.723107 63.772812 \r\n",
       "L 323.027776 87.791088 \r\n",
       "L 323.332444 75.820282 \r\n",
       "L 323.637112 68.327612 \r\n",
       "L 323.941781 74.547999 \r\n",
       "L 324.246449 73.339256 \r\n",
       "L 324.551117 122.325784 \r\n",
       "L 324.855785 85.83013 \r\n",
       "L 325.160454 66.890765 \r\n",
       "L 325.465122 64.90302 \r\n",
       "L 325.76979 68.127876 \r\n",
       "L 326.074459 98.979513 \r\n",
       "L 326.379127 115.808064 \r\n",
       "L 326.683795 72.035435 \r\n",
       "L 326.988464 79.582503 \r\n",
       "L 327.293132 102.412693 \r\n",
       "L 327.5978 90.435338 \r\n",
       "L 327.902469 64.5033 \r\n",
       "L 328.207137 101.683172 \r\n",
       "L 328.511805 89.089388 \r\n",
       "L 328.816473 86.4067 \r\n",
       "L 329.121142 67.974025 \r\n",
       "L 329.42581 81.00852 \r\n",
       "L 329.730478 99.044958 \r\n",
       "L 330.035147 83.129826 \r\n",
       "L 330.339815 105.779143 \r\n",
       "L 330.644483 107.83118 \r\n",
       "L 330.949152 104.236211 \r\n",
       "L 331.25382 110.846628 \r\n",
       "L 331.558488 85.055854 \r\n",
       "L 331.863156 109.487761 \r\n",
       "L 332.167825 117.507105 \r\n",
       "L 332.472493 96.401936 \r\n",
       "L 332.777161 97.277835 \r\n",
       "L 333.08183 112.435658 \r\n",
       "L 333.386498 90.854084 \r\n",
       "L 333.691166 127.399622 \r\n",
       "L 334.300503 84.319434 \r\n",
       "L 334.605171 94.318108 \r\n",
       "L 334.90984 121.134049 \r\n",
       "L 335.214508 87.669538 \r\n",
       "L 335.519176 107.843973 \r\n",
       "L 335.823844 109.424845 \r\n",
       "L 336.128513 122.621403 \r\n",
       "L 336.433181 112.999729 \r\n",
       "L 336.737849 107.152976 \r\n",
       "L 337.042518 110.607173 \r\n",
       "L 337.347186 122.149243 \r\n",
       "L 337.651854 104.209839 \r\n",
       "L 337.956523 118.330464 \r\n",
       "L 338.261191 92.609749 \r\n",
       "L 338.565859 106.503492 \r\n",
       "L 338.870527 129.624066 \r\n",
       "L 339.479864 104.651277 \r\n",
       "L 339.784532 107.458085 \r\n",
       "L 340.089201 111.721314 \r\n",
       "L 340.393869 112.373934 \r\n",
       "L 340.698537 126.472271 \r\n",
       "L 341.003206 127.838493 \r\n",
       "L 341.307874 97.483857 \r\n",
       "L 341.612542 128.436092 \r\n",
       "L 341.917211 93.822112 \r\n",
       "L 342.221879 133.283531 \r\n",
       "L 342.526547 127.754951 \r\n",
       "L 342.831215 103.187062 \r\n",
       "L 343.440552 134.570082 \r\n",
       "L 343.74522 114.25512 \r\n",
       "L 344.049889 101.700833 \r\n",
       "L 344.354557 121.363589 \r\n",
       "L 344.659225 109.317695 \r\n",
       "L 344.963894 139.326191 \r\n",
       "L 345.268562 126.468872 \r\n",
       "L 345.877898 140.368195 \r\n",
       "L 346.182567 125.160317 \r\n",
       "L 346.487235 121.05554 \r\n",
       "L 346.791903 130.089927 \r\n",
       "L 347.096572 122.96872 \r\n",
       "L 347.40124 125.744331 \r\n",
       "L 347.705908 142.904452 \r\n",
       "L 348.010577 149.37292 \r\n",
       "L 348.315245 124.094085 \r\n",
       "L 348.619913 138.886051 \r\n",
       "L 348.924582 125.474825 \r\n",
       "L 349.22925 159.032469 \r\n",
       "L 349.533918 161.72052 \r\n",
       "L 349.838586 129.748471 \r\n",
       "L 350.143255 127.000555 \r\n",
       "L 350.447923 128.137242 \r\n",
       "L 350.752591 139.568128 \r\n",
       "L 351.05726 174.645929 \r\n",
       "L 351.361928 124.344212 \r\n",
       "L 351.971265 163.734849 \r\n",
       "L 352.275933 129.760434 \r\n",
       "L 352.580601 142.55977 \r\n",
       "L 353.189938 144.287124 \r\n",
       "L 353.494606 130.513981 \r\n",
       "L 353.799274 129.921487 \r\n",
       "L 354.103943 146.221763 \r\n",
       "L 354.408611 136.722998 \r\n",
       "L 354.713279 152.271044 \r\n",
       "L 355.017948 151.938001 \r\n",
       "L 355.322616 137.201736 \r\n",
       "L 355.627284 129.431948 \r\n",
       "L 355.931953 159.69584 \r\n",
       "L 356.236621 137.201938 \r\n",
       "L 356.541289 146.984122 \r\n",
       "L 356.845957 163.566785 \r\n",
       "L 357.150626 171.363013 \r\n",
       "L 357.455294 150.023008 \r\n",
       "L 357.759962 148.01759 \r\n",
       "L 358.064631 156.124401 \r\n",
       "L 358.064631 156.124401 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_15\">\r\n",
       "    <path clip-path=\"url(#p2775bb892c)\" d=\"M 54.919668 104.952041 \r\n",
       "L 55.224336 116.019963 \r\n",
       "L 55.529004 120.756598 \r\n",
       "L 55.833672 123.325893 \r\n",
       "L 56.138341 120.406996 \r\n",
       "L 56.747677 107.983055 \r\n",
       "L 57.052346 103.335277 \r\n",
       "L 57.357014 109.550274 \r\n",
       "L 57.661682 106.824948 \r\n",
       "L 57.966351 107.476841 \r\n",
       "L 58.271019 113.58868 \r\n",
       "L 58.575687 107.630309 \r\n",
       "L 58.880355 107.687177 \r\n",
       "L 59.185024 113.020717 \r\n",
       "L 59.489692 114.607125 \r\n",
       "L 59.79436 105.565514 \r\n",
       "L 60.099029 113.171053 \r\n",
       "L 60.403697 110.556593 \r\n",
       "L 60.708365 102.993626 \r\n",
       "L 61.013034 106.302573 \r\n",
       "L 61.317702 101.56871 \r\n",
       "L 61.62237 99.114391 \r\n",
       "L 61.927039 101.316007 \r\n",
       "L 62.231707 92.928196 \r\n",
       "L 62.841043 85.208773 \r\n",
       "L 63.145712 77.781623 \r\n",
       "L 63.755048 84.83257 \r\n",
       "L 64.059717 91.985003 \r\n",
       "L 64.669053 99.156032 \r\n",
       "L 64.973722 97.769238 \r\n",
       "L 65.583058 91.288577 \r\n",
       "L 65.887727 92.298184 \r\n",
       "L 66.192395 88.044716 \r\n",
       "L 66.497063 86.384662 \r\n",
       "L 66.801731 90.811393 \r\n",
       "L 67.411068 80.304976 \r\n",
       "L 67.715736 76.885749 \r\n",
       "L 68.020405 74.747561 \r\n",
       "L 68.325073 79.996593 \r\n",
       "L 68.629741 87.520476 \r\n",
       "L 68.93441 86.073421 \r\n",
       "L 69.239078 75.979401 \r\n",
       "L 69.543746 72.27774 \r\n",
       "L 69.848414 65.435682 \r\n",
       "L 70.153083 72.829116 \r\n",
       "L 70.457751 76.241839 \r\n",
       "L 70.762419 65.565119 \r\n",
       "L 71.067088 62.503361 \r\n",
       "L 71.371756 56.765912 \r\n",
       "L 71.676424 60.523772 \r\n",
       "L 71.981093 68.3994 \r\n",
       "L 72.285761 65.844577 \r\n",
       "L 72.895098 79.383368 \r\n",
       "L 73.199766 76.38513 \r\n",
       "L 73.504434 79.342341 \r\n",
       "L 73.809102 71.952663 \r\n",
       "L 74.113771 60.770938 \r\n",
       "L 74.418439 71.119771 \r\n",
       "L 74.723107 68.520899 \r\n",
       "L 75.027776 72.343362 \r\n",
       "L 75.332444 73.994826 \r\n",
       "L 75.637112 68.814812 \r\n",
       "L 75.941781 67.269736 \r\n",
       "L 76.551117 69.956526 \r\n",
       "L 76.855785 69.63799 \r\n",
       "L 77.465122 79.996352 \r\n",
       "L 77.76979 79.585657 \r\n",
       "L 78.379127 64.402003 \r\n",
       "L 78.683795 52.901516 \r\n",
       "L 78.988464 48.610214 \r\n",
       "L 79.293132 49.214551 \r\n",
       "L 79.5978 54.530623 \r\n",
       "L 79.902469 56.214363 \r\n",
       "L 80.207137 50.491473 \r\n",
       "L 80.511805 52.613789 \r\n",
       "L 80.816473 48.970337 \r\n",
       "L 81.121142 49.427045 \r\n",
       "L 81.42581 52.030544 \r\n",
       "L 81.730478 49.513489 \r\n",
       "L 82.035147 53.650102 \r\n",
       "L 82.339815 51.2465 \r\n",
       "L 82.644483 56.742924 \r\n",
       "L 82.949152 66.052451 \r\n",
       "L 83.25382 58.75857 \r\n",
       "L 83.558488 58.401798 \r\n",
       "L 83.863156 52.926075 \r\n",
       "L 84.167825 50.60826 \r\n",
       "L 84.777161 57.24486 \r\n",
       "L 85.08183 57.05715 \r\n",
       "L 85.386498 60.356147 \r\n",
       "L 85.691166 57.128867 \r\n",
       "L 86.605171 33.561635 \r\n",
       "L 86.90984 38.4664 \r\n",
       "L 87.214508 49.249678 \r\n",
       "L 87.519176 55.625173 \r\n",
       "L 87.823844 58.383405 \r\n",
       "L 88.128513 57.979 \r\n",
       "L 88.433181 58.182872 \r\n",
       "L 88.737849 59.542381 \r\n",
       "L 89.956523 40.258944 \r\n",
       "L 90.261191 44.020295 \r\n",
       "L 90.565859 45.190532 \r\n",
       "L 90.870527 60.100165 \r\n",
       "L 91.175196 57.917937 \r\n",
       "L 91.479864 48.846325 \r\n",
       "L 91.784532 49.616398 \r\n",
       "L 92.089201 42.791806 \r\n",
       "L 92.393869 43.208015 \r\n",
       "L 92.698537 52.209284 \r\n",
       "L 93.307874 39.085413 \r\n",
       "L 93.612542 41.182848 \r\n",
       "L 93.917211 35.737999 \r\n",
       "L 94.221879 37.452314 \r\n",
       "L 94.526547 38.262823 \r\n",
       "L 94.831215 33.674048 \r\n",
       "L 96.049889 59.118766 \r\n",
       "L 96.354557 60.995164 \r\n",
       "L 96.659225 56.217512 \r\n",
       "L 96.963894 58.151398 \r\n",
       "L 97.268562 55.957651 \r\n",
       "L 97.57323 44.752929 \r\n",
       "L 97.877898 47.371648 \r\n",
       "L 98.182567 47.791385 \r\n",
       "L 98.487235 47.600373 \r\n",
       "L 98.791903 44.840107 \r\n",
       "L 99.40124 41.305338 \r\n",
       "L 99.705908 42.173534 \r\n",
       "L 100.010577 41.074092 \r\n",
       "L 100.315245 42.854731 \r\n",
       "L 100.619913 39.89899 \r\n",
       "L 100.924582 39.587567 \r\n",
       "L 101.22925 44.691479 \r\n",
       "L 101.533918 41.873347 \r\n",
       "L 101.838586 42.379706 \r\n",
       "L 102.447923 34.912404 \r\n",
       "L 102.752591 44.589272 \r\n",
       "L 103.05726 43.491851 \r\n",
       "L 103.361928 43.742887 \r\n",
       "L 103.666596 46.117537 \r\n",
       "L 103.971265 32.904595 \r\n",
       "L 104.275933 45.241825 \r\n",
       "L 104.580601 46.344296 \r\n",
       "L 104.88527 48.453676 \r\n",
       "L 105.189938 54.631457 \r\n",
       "L 105.494606 51.385216 \r\n",
       "L 105.799274 56.412108 \r\n",
       "L 106.103943 56.31187 \r\n",
       "L 106.408611 57.166777 \r\n",
       "L 106.713279 54.044825 \r\n",
       "L 107.627284 35.353671 \r\n",
       "L 107.931953 42.248058 \r\n",
       "L 108.236621 38.728794 \r\n",
       "L 108.541289 40.004919 \r\n",
       "L 108.845957 41.915023 \r\n",
       "L 109.150626 39.734019 \r\n",
       "L 109.455294 48.120199 \r\n",
       "L 109.759962 45.359457 \r\n",
       "L 110.064631 49.697413 \r\n",
       "L 110.369299 46.394341 \r\n",
       "L 110.673967 47.084349 \r\n",
       "L 111.283304 31.96674 \r\n",
       "L 111.892641 24.847488 \r\n",
       "L 112.197309 27.484104 \r\n",
       "L 112.501977 27.542638 \r\n",
       "L 112.806645 34.320794 \r\n",
       "L 113.111314 34.549261 \r\n",
       "L 113.415982 33.352927 \r\n",
       "L 113.72065 34.62144 \r\n",
       "L 114.025319 28.989018 \r\n",
       "L 114.329987 36.829355 \r\n",
       "L 114.939324 41.531428 \r\n",
       "L 115.243992 45.33601 \r\n",
       "L 115.54866 46.788334 \r\n",
       "L 115.853328 54.008852 \r\n",
       "L 116.157997 58.515242 \r\n",
       "L 116.767333 42.437918 \r\n",
       "L 117.072002 40.480556 \r\n",
       "L 117.681338 51.203282 \r\n",
       "L 117.986007 64.394665 \r\n",
       "L 118.290675 62.414822 \r\n",
       "L 118.595343 64.915538 \r\n",
       "L 118.900012 64.796149 \r\n",
       "L 119.20468 52.149534 \r\n",
       "L 119.509348 55.658197 \r\n",
       "L 119.814016 49.506135 \r\n",
       "L 120.118685 51.666933 \r\n",
       "L 120.423353 58.094652 \r\n",
       "L 120.728021 49.76782 \r\n",
       "L 121.03269 55.757904 \r\n",
       "L 121.337358 58.963839 \r\n",
       "L 121.642026 54.524312 \r\n",
       "L 121.946695 61.407913 \r\n",
       "L 122.251363 60.314898 \r\n",
       "L 122.556031 53.070812 \r\n",
       "L 123.165368 62.393308 \r\n",
       "L 123.470036 59.437825 \r\n",
       "L 123.774704 58.481122 \r\n",
       "L 124.079373 58.251543 \r\n",
       "L 124.384041 54.281222 \r\n",
       "L 124.688709 57.781456 \r\n",
       "L 124.993378 67.727781 \r\n",
       "L 125.298046 71.910585 \r\n",
       "L 125.602714 69.615275 \r\n",
       "L 126.516719 51.121852 \r\n",
       "L 126.821387 51.243101 \r\n",
       "L 127.430724 59.331534 \r\n",
       "L 128.040061 64.069862 \r\n",
       "L 128.344729 69.730681 \r\n",
       "L 128.649397 67.111205 \r\n",
       "L 128.954066 63.368243 \r\n",
       "L 129.258734 63.546855 \r\n",
       "L 129.563402 61.447982 \r\n",
       "L 130.172739 81.306976 \r\n",
       "L 130.477407 76.632188 \r\n",
       "L 130.782075 76.224586 \r\n",
       "L 131.086744 76.508695 \r\n",
       "L 131.391412 71.491436 \r\n",
       "L 131.69608 74.773796 \r\n",
       "L 132.610085 76.290849 \r\n",
       "L 132.914754 78.161339 \r\n",
       "L 133.52409 76.815177 \r\n",
       "L 133.828758 77.200866 \r\n",
       "L 134.133427 72.01382 \r\n",
       "L 134.438095 77.551694 \r\n",
       "L 134.742763 79.065025 \r\n",
       "L 135.047432 81.500895 \r\n",
       "L 135.3521 85.574721 \r\n",
       "L 135.656768 80.956289 \r\n",
       "L 135.961437 86.632057 \r\n",
       "L 136.266105 83.982942 \r\n",
       "L 136.570773 86.639754 \r\n",
       "L 136.875441 84.449987 \r\n",
       "L 137.789446 71.205579 \r\n",
       "L 138.094115 77.333911 \r\n",
       "L 138.398783 74.924743 \r\n",
       "L 138.703451 86.069416 \r\n",
       "L 139.00812 85.707576 \r\n",
       "L 139.312788 88.420364 \r\n",
       "L 139.617456 96.247032 \r\n",
       "L 139.922125 94.676225 \r\n",
       "L 140.226793 106.165308 \r\n",
       "L 140.531461 100.053266 \r\n",
       "L 140.836129 102.742934 \r\n",
       "L 141.140798 104.103323 \r\n",
       "L 141.445466 102.818163 \r\n",
       "L 141.750134 106.600654 \r\n",
       "L 142.054803 108.835821 \r\n",
       "L 142.359471 105.361985 \r\n",
       "L 142.664139 104.251831 \r\n",
       "L 142.968808 105.877252 \r\n",
       "L 143.273476 102.250774 \r\n",
       "L 143.578144 104.817598 \r\n",
       "L 143.882812 105.878621 \r\n",
       "L 144.187481 106.392339 \r\n",
       "L 144.492149 105.49784 \r\n",
       "L 145.101486 123.305343 \r\n",
       "L 145.406154 119.676322 \r\n",
       "L 145.710822 120.608557 \r\n",
       "L 146.015491 111.59172 \r\n",
       "L 146.320159 107.603447 \r\n",
       "L 146.624827 112.350975 \r\n",
       "L 146.929496 114.801276 \r\n",
       "L 147.234164 118.544427 \r\n",
       "L 147.538832 112.701102 \r\n",
       "L 147.8435 110.669413 \r\n",
       "L 148.148169 106.009383 \r\n",
       "L 148.452837 114.009842 \r\n",
       "L 148.757505 111.789484 \r\n",
       "L 149.062174 113.93365 \r\n",
       "L 149.67151 124.348824 \r\n",
       "L 149.976179 126.936479 \r\n",
       "L 150.280847 128.400392 \r\n",
       "L 150.585515 126.728191 \r\n",
       "L 150.890184 117.536216 \r\n",
       "L 151.194852 119.968748 \r\n",
       "L 151.49952 120.33232 \r\n",
       "L 151.804188 112.788028 \r\n",
       "L 152.108857 120.617147 \r\n",
       "L 152.718193 121.191427 \r\n",
       "L 153.022862 117.093971 \r\n",
       "L 153.32753 117.774505 \r\n",
       "L 153.632198 114.63424 \r\n",
       "L 153.936867 122.615705 \r\n",
       "L 154.241535 122.137217 \r\n",
       "L 154.546203 112.378021 \r\n",
       "L 154.850871 114.688856 \r\n",
       "L 155.15554 111.370827 \r\n",
       "L 155.460208 116.779927 \r\n",
       "L 155.764876 118.734855 \r\n",
       "L 156.069545 118.428638 \r\n",
       "L 156.678881 107.058174 \r\n",
       "L 157.288218 126.166032 \r\n",
       "L 157.592886 136.500633 \r\n",
       "L 157.897555 138.20529 \r\n",
       "L 158.811559 128.314631 \r\n",
       "L 159.116228 126.721182 \r\n",
       "L 159.725564 132.568875 \r\n",
       "L 160.030233 132.71288 \r\n",
       "L 160.334901 128.998302 \r\n",
       "L 160.639569 135.469283 \r\n",
       "L 160.944238 137.432118 \r\n",
       "L 161.248906 136.509839 \r\n",
       "L 161.553574 143.348796 \r\n",
       "L 161.858242 145.715204 \r\n",
       "L 162.162911 140.817758 \r\n",
       "L 162.772247 148.147391 \r\n",
       "L 163.076916 141.204909 \r\n",
       "L 163.686252 155.601652 \r\n",
       "L 163.990921 149.884703 \r\n",
       "L 164.295589 155.057476 \r\n",
       "L 164.600257 157.299306 \r\n",
       "L 164.904926 156.589724 \r\n",
       "L 165.209594 161.507663 \r\n",
       "L 165.514262 157.775225 \r\n",
       "L 165.81893 159.242354 \r\n",
       "L 166.123599 150.81814 \r\n",
       "L 166.428267 147.717662 \r\n",
       "L 166.732935 148.336456 \r\n",
       "L 167.037604 144.981339 \r\n",
       "L 167.342272 150.518053 \r\n",
       "L 167.64694 167.42233 \r\n",
       "L 167.951609 166.866696 \r\n",
       "L 168.256277 174.029711 \r\n",
       "L 168.560945 172.525904 \r\n",
       "L 168.865613 163.177532 \r\n",
       "L 169.47495 159.976369 \r\n",
       "L 169.779618 159.225044 \r\n",
       "L 170.388955 153.803103 \r\n",
       "L 170.693623 156.098743 \r\n",
       "L 170.998292 156.059536 \r\n",
       "L 171.30296 161.95856 \r\n",
       "L 171.607628 165.32307 \r\n",
       "L 172.216965 166.889987 \r\n",
       "L 172.521633 166.085528 \r\n",
       "L 172.826301 166.750006 \r\n",
       "L 173.13097 163.326663 \r\n",
       "L 173.435638 161.892708 \r\n",
       "L 173.740306 166.299963 \r\n",
       "L 174.044975 160.981422 \r\n",
       "L 174.654311 167.165329 \r\n",
       "L 174.95898 167.59492 \r\n",
       "L 175.263648 179.150196 \r\n",
       "L 175.568316 176.602473 \r\n",
       "L 175.872984 178.500237 \r\n",
       "L 176.482321 165.548408 \r\n",
       "L 176.786989 170.116051 \r\n",
       "L 177.091658 165.697285 \r\n",
       "L 177.396326 168.416444 \r\n",
       "L 178.005663 175.189025 \r\n",
       "L 178.310331 182.353739 \r\n",
       "L 179.224336 174.393631 \r\n",
       "L 179.529004 163.48378 \r\n",
       "L 179.833672 172.359967 \r\n",
       "L 180.443009 175.661706 \r\n",
       "L 180.747677 185.409895 \r\n",
       "L 181.052346 179.459388 \r\n",
       "L 181.357014 182.836807 \r\n",
       "L 181.661682 181.962657 \r\n",
       "L 181.966351 174.884222 \r\n",
       "L 182.271019 174.033126 \r\n",
       "L 182.575687 172.503338 \r\n",
       "L 182.880355 171.873004 \r\n",
       "L 183.185024 177.649019 \r\n",
       "L 183.489692 180.522242 \r\n",
       "L 183.79436 181.57694 \r\n",
       "L 184.099029 184.411113 \r\n",
       "L 184.708365 181.615865 \r\n",
       "L 185.013034 175.203616 \r\n",
       "L 185.317702 180.130407 \r\n",
       "L 185.62237 181.245005 \r\n",
       "L 185.927039 189.997977 \r\n",
       "L 186.231707 194.089632 \r\n",
       "L 186.536375 182.775872 \r\n",
       "L 186.841043 182.58573 \r\n",
       "L 187.145712 175.959702 \r\n",
       "L 187.45038 166.855721 \r\n",
       "L 187.755048 177.643051 \r\n",
       "L 188.059717 177.972203 \r\n",
       "L 188.364385 181.951139 \r\n",
       "L 188.669053 191.674724 \r\n",
       "L 189.27839 178.810661 \r\n",
       "L 189.583058 181.408727 \r\n",
       "L 189.887727 177.525007 \r\n",
       "L 190.497063 188.459281 \r\n",
       "L 191.1064 189.75075 \r\n",
       "L 191.411068 182.283287 \r\n",
       "L 191.715736 187.24823 \r\n",
       "L 192.020405 182.060479 \r\n",
       "L 192.325073 186.578754 \r\n",
       "L 192.629741 188.615367 \r\n",
       "L 192.93441 178.828458 \r\n",
       "L 193.239078 186.472076 \r\n",
       "L 193.543746 180.205949 \r\n",
       "L 193.848414 179.791464 \r\n",
       "L 194.153083 178.51569 \r\n",
       "L 194.457751 178.164536 \r\n",
       "L 194.762419 178.032219 \r\n",
       "L 195.067088 178.051482 \r\n",
       "L 195.676424 183.470705 \r\n",
       "L 195.981093 179.482896 \r\n",
       "L 196.285761 181.055105 \r\n",
       "L 196.590429 191.748345 \r\n",
       "L 197.199766 188.196766 \r\n",
       "L 197.504434 190.646841 \r\n",
       "L 197.809102 181.808605 \r\n",
       "L 198.113771 180.776762 \r\n",
       "L 198.418439 187.012272 \r\n",
       "L 198.723107 187.563391 \r\n",
       "L 199.027776 191.795563 \r\n",
       "L 199.941781 181.001737 \r\n",
       "L 200.246449 177.3999 \r\n",
       "L 200.551117 180.725091 \r\n",
       "L 200.855785 181.152512 \r\n",
       "L 201.160454 178.660785 \r\n",
       "L 201.465122 186.471013 \r\n",
       "L 201.76979 188.011594 \r\n",
       "L 202.074459 185.525296 \r\n",
       "L 202.379127 180.673677 \r\n",
       "L 202.683795 182.224153 \r\n",
       "L 202.988464 179.104179 \r\n",
       "L 203.293132 179.026345 \r\n",
       "L 203.5978 190.21586 \r\n",
       "L 203.902469 189.624483 \r\n",
       "L 204.207137 183.338767 \r\n",
       "L 204.511805 189.009425 \r\n",
       "L 204.816473 179.879343 \r\n",
       "L 205.121142 176.664362 \r\n",
       "L 205.730478 183.514322 \r\n",
       "L 206.035147 185.502179 \r\n",
       "L 206.339815 188.469687 \r\n",
       "L 206.644483 182.31738 \r\n",
       "L 206.949152 191.902555 \r\n",
       "L 207.25382 190.323335 \r\n",
       "L 207.558488 181.201042 \r\n",
       "L 207.863156 182.497723 \r\n",
       "L 208.167825 172.119353 \r\n",
       "L 208.472493 172.907972 \r\n",
       "L 208.777161 172.614016 \r\n",
       "L 209.08183 176.11696 \r\n",
       "L 209.386498 182.131877 \r\n",
       "L 209.691166 174.82885 \r\n",
       "L 209.995835 171.589056 \r\n",
       "L 210.300503 178.02315 \r\n",
       "L 210.605171 178.576471 \r\n",
       "L 210.90984 179.507194 \r\n",
       "L 211.214508 184.135151 \r\n",
       "L 211.519176 178.277388 \r\n",
       "L 212.128513 177.995638 \r\n",
       "L 212.433181 180.970481 \r\n",
       "L 212.737849 180.060612 \r\n",
       "L 213.042518 181.433552 \r\n",
       "L 213.347186 178.416305 \r\n",
       "L 213.651854 177.233274 \r\n",
       "L 213.956523 178.300372 \r\n",
       "L 214.565859 175.749471 \r\n",
       "L 214.870527 178.300715 \r\n",
       "L 215.175196 179.475256 \r\n",
       "L 215.479864 178.336458 \r\n",
       "L 215.784532 179.327761 \r\n",
       "L 216.089201 177.198247 \r\n",
       "L 216.698537 171.572246 \r\n",
       "L 217.003206 170.104536 \r\n",
       "L 217.612542 164.154731 \r\n",
       "L 217.917211 166.095499 \r\n",
       "L 218.221879 165.421665 \r\n",
       "L 218.526547 170.630178 \r\n",
       "L 218.831215 169.418757 \r\n",
       "L 219.135884 176.042357 \r\n",
       "L 219.440552 175.567855 \r\n",
       "L 219.74522 179.04821 \r\n",
       "L 220.049889 178.974222 \r\n",
       "L 220.354557 168.831887 \r\n",
       "L 220.963894 162.184655 \r\n",
       "L 221.268562 168.145407 \r\n",
       "L 221.57323 170.109563 \r\n",
       "L 221.877898 170.472215 \r\n",
       "L 222.182567 172.078475 \r\n",
       "L 222.487235 168.64717 \r\n",
       "L 222.791903 172.951778 \r\n",
       "L 223.40124 164.385441 \r\n",
       "L 223.705908 160.614831 \r\n",
       "L 224.010577 152.617345 \r\n",
       "L 224.315245 149.106045 \r\n",
       "L 224.619913 156.179645 \r\n",
       "L 224.924582 151.137449 \r\n",
       "L 225.22925 163.055296 \r\n",
       "L 225.533918 165.550152 \r\n",
       "L 225.838586 161.664406 \r\n",
       "L 226.143255 163.980449 \r\n",
       "L 226.447923 162.127409 \r\n",
       "L 226.752591 164.527403 \r\n",
       "L 227.05726 165.270956 \r\n",
       "L 227.361928 154.116585 \r\n",
       "L 227.666596 147.753333 \r\n",
       "L 227.971265 146.163656 \r\n",
       "L 228.275933 149.525506 \r\n",
       "L 228.88527 160.702081 \r\n",
       "L 229.494606 138.424085 \r\n",
       "L 230.103943 127.324017 \r\n",
       "L 230.408611 143.978661 \r\n",
       "L 231.017948 154.346409 \r\n",
       "L 231.322616 165.549858 \r\n",
       "L 231.627284 158.997753 \r\n",
       "L 231.931953 159.315331 \r\n",
       "L 232.845957 137.28728 \r\n",
       "L 233.150626 148.055804 \r\n",
       "L 233.455294 143.732562 \r\n",
       "L 233.759962 145.226355 \r\n",
       "L 234.064631 142.837772 \r\n",
       "L 234.369299 133.593781 \r\n",
       "L 234.673967 137.165216 \r\n",
       "L 234.978636 131.880003 \r\n",
       "L 235.283304 130.515121 \r\n",
       "L 235.587972 136.998098 \r\n",
       "L 235.892641 139.00983 \r\n",
       "L 236.197309 144.966174 \r\n",
       "L 236.501977 146.655381 \r\n",
       "L 236.806645 139.257318 \r\n",
       "L 237.111314 143.497291 \r\n",
       "L 237.72065 133.832673 \r\n",
       "L 238.025319 138.313901 \r\n",
       "L 238.634655 130.944141 \r\n",
       "L 238.939324 133.024027 \r\n",
       "L 239.243992 130.71686 \r\n",
       "L 239.54866 123.260724 \r\n",
       "L 239.853328 124.375582 \r\n",
       "L 240.157997 127.684032 \r\n",
       "L 240.462665 127.879717 \r\n",
       "L 240.767333 138.453067 \r\n",
       "L 241.072002 139.813846 \r\n",
       "L 241.37667 139.43854 \r\n",
       "L 241.681338 131.08218 \r\n",
       "L 241.986007 129.457977 \r\n",
       "L 242.290675 132.501627 \r\n",
       "L 242.595343 131.986825 \r\n",
       "L 242.900012 134.533124 \r\n",
       "L 243.20468 131.538308 \r\n",
       "L 243.509348 122.06433 \r\n",
       "L 243.814016 118.512276 \r\n",
       "L 244.118685 122.110048 \r\n",
       "L 244.423353 114.095504 \r\n",
       "L 244.728021 120.052917 \r\n",
       "L 245.03269 121.871026 \r\n",
       "L 245.337358 113.556225 \r\n",
       "L 245.946695 136.05747 \r\n",
       "L 246.251363 131.410334 \r\n",
       "L 246.556031 131.637471 \r\n",
       "L 246.860699 121.102586 \r\n",
       "L 247.470036 110.773142 \r\n",
       "L 247.774704 111.5397 \r\n",
       "L 248.079373 106.122829 \r\n",
       "L 248.384041 111.471453 \r\n",
       "L 248.688709 100.250889 \r\n",
       "L 249.298046 109.593844 \r\n",
       "L 249.602714 106.82561 \r\n",
       "L 250.212051 117.982794 \r\n",
       "L 250.516719 113.997508 \r\n",
       "L 250.821387 106.313869 \r\n",
       "L 251.126056 109.237652 \r\n",
       "L 251.430724 99.772989 \r\n",
       "L 252.040061 93.617393 \r\n",
       "L 252.344729 89.004542 \r\n",
       "L 252.649397 94.852199 \r\n",
       "L 252.954066 90.004365 \r\n",
       "L 253.258734 92.481313 \r\n",
       "L 253.86807 80.72189 \r\n",
       "L 254.172739 90.375694 \r\n",
       "L 254.477407 95.125181 \r\n",
       "L 254.782075 94.110769 \r\n",
       "L 255.086744 95.442694 \r\n",
       "L 255.391412 91.080082 \r\n",
       "L 256.000749 88.551418 \r\n",
       "L 256.305417 84.800061 \r\n",
       "L 256.610085 88.497268 \r\n",
       "L 256.914754 86.182808 \r\n",
       "L 257.219422 91.913037 \r\n",
       "L 257.52409 93.802515 \r\n",
       "L 257.828758 87.755028 \r\n",
       "L 258.133427 93.436202 \r\n",
       "L 258.438095 94.996454 \r\n",
       "L 258.742763 91.544006 \r\n",
       "L 259.047432 90.108349 \r\n",
       "L 259.656768 75.346824 \r\n",
       "L 259.961437 73.58374 \r\n",
       "L 260.266105 74.805141 \r\n",
       "L 260.570773 74.31747 \r\n",
       "L 260.875441 74.677375 \r\n",
       "L 261.18011 80.119856 \r\n",
       "L 261.484778 78.507837 \r\n",
       "L 262.094115 86.318222 \r\n",
       "L 262.398783 87.657537 \r\n",
       "L 262.703451 87.833112 \r\n",
       "L 263.00812 94.533111 \r\n",
       "L 263.312788 92.966658 \r\n",
       "L 263.617456 83.814268 \r\n",
       "L 263.922125 83.594869 \r\n",
       "L 264.226793 75.466091 \r\n",
       "L 264.531461 75.491883 \r\n",
       "L 264.836129 81.965409 \r\n",
       "L 265.140798 79.198655 \r\n",
       "L 265.445466 80.6123 \r\n",
       "L 265.750134 75.796709 \r\n",
       "L 266.054803 74.883833 \r\n",
       "L 266.359471 81.065218 \r\n",
       "L 266.664139 78.660605 \r\n",
       "L 266.968808 74.088496 \r\n",
       "L 267.273476 73.789694 \r\n",
       "L 267.578144 71.154833 \r\n",
       "L 267.882812 71.771196 \r\n",
       "L 268.187481 74.793244 \r\n",
       "L 268.492149 82.881999 \r\n",
       "L 268.796817 83.717411 \r\n",
       "L 269.406154 81.238373 \r\n",
       "L 269.710822 72.418244 \r\n",
       "L 270.015491 70.012209 \r\n",
       "L 270.320159 71.545581 \r\n",
       "L 270.624827 62.344898 \r\n",
       "L 270.929496 56.617462 \r\n",
       "L 271.234164 53.478096 \r\n",
       "L 271.538832 48.676738 \r\n",
       "L 272.757505 64.395841 \r\n",
       "L 273.062174 71.579403 \r\n",
       "L 273.67151 62.550973 \r\n",
       "L 273.976179 61.303362 \r\n",
       "L 274.280847 57.6997 \r\n",
       "L 274.890184 52.802876 \r\n",
       "L 275.194852 46.90289 \r\n",
       "L 275.49952 44.446597 \r\n",
       "L 275.804188 47.068014 \r\n",
       "L 276.108857 43.228474 \r\n",
       "L 277.32753 68.710034 \r\n",
       "L 277.632198 62.51421 \r\n",
       "L 277.936867 52.313949 \r\n",
       "L 278.241535 47.093564 \r\n",
       "L 278.546203 44.407813 \r\n",
       "L 278.850871 53.604822 \r\n",
       "L 279.15554 54.183384 \r\n",
       "L 279.460208 53.864989 \r\n",
       "L 279.764876 50.482146 \r\n",
       "L 280.069545 42.044818 \r\n",
       "L 280.374213 43.64979 \r\n",
       "L 280.678881 44.394289 \r\n",
       "L 280.98355 44.060481 \r\n",
       "L 281.288218 39.1058 \r\n",
       "L 281.592886 38.794111 \r\n",
       "L 281.897555 43.297826 \r\n",
       "L 282.202223 42.889044 \r\n",
       "L 282.811559 54.493897 \r\n",
       "L 283.116228 49.468519 \r\n",
       "L 283.420896 48.08959 \r\n",
       "L 283.725564 47.468258 \r\n",
       "L 284.944238 65.265358 \r\n",
       "L 285.248906 58.533841 \r\n",
       "L 285.553574 49.08722 \r\n",
       "L 285.858242 44.789402 \r\n",
       "L 286.162911 33.939462 \r\n",
       "L 286.467579 32.728573 \r\n",
       "L 286.772247 34.565709 \r\n",
       "L 287.076916 38.093639 \r\n",
       "L 287.381584 43.98433 \r\n",
       "L 287.686252 43.86495 \r\n",
       "L 288.295589 48.835096 \r\n",
       "L 288.600257 44.98515 \r\n",
       "L 288.904926 43.751715 \r\n",
       "L 289.209594 41.98096 \r\n",
       "L 289.514262 35.962028 \r\n",
       "L 289.81893 43.15669 \r\n",
       "L 290.123599 42.069933 \r\n",
       "L 290.428267 43.112267 \r\n",
       "L 290.732935 43.604087 \r\n",
       "L 291.037604 39.978838 \r\n",
       "L 291.951609 49.860551 \r\n",
       "L 292.256277 46.28929 \r\n",
       "L 292.560945 38.2148 \r\n",
       "L 292.865613 42.949053 \r\n",
       "L 293.170282 35.068265 \r\n",
       "L 293.47495 35.982495 \r\n",
       "L 293.779618 36.125814 \r\n",
       "L 294.084287 32.425768 \r\n",
       "L 294.388955 42.746079 \r\n",
       "L 294.998292 51.461475 \r\n",
       "L 295.607628 46.372383 \r\n",
       "L 296.216965 38.385191 \r\n",
       "L 296.521633 41.118546 \r\n",
       "L 296.826301 36.589683 \r\n",
       "L 297.13097 45.835578 \r\n",
       "L 297.435638 44.402086 \r\n",
       "L 297.740306 36.729886 \r\n",
       "L 298.044975 41.571719 \r\n",
       "L 298.349643 35.020145 \r\n",
       "L 298.654311 33.991142 \r\n",
       "L 298.95898 47.477086 \r\n",
       "L 299.263648 43.168321 \r\n",
       "L 299.568316 44.276406 \r\n",
       "L 299.872984 47.220701 \r\n",
       "L 300.177653 39.830532 \r\n",
       "L 301.091658 58.24729 \r\n",
       "L 301.396326 50.867339 \r\n",
       "L 302.310331 39.376659 \r\n",
       "L 302.614999 48.896248 \r\n",
       "L 302.919668 49.236911 \r\n",
       "L 303.224336 45.574779 \r\n",
       "L 303.529004 44.756933 \r\n",
       "L 303.833672 39.530965 \r\n",
       "L 304.138341 41.162501 \r\n",
       "L 304.443009 50.151528 \r\n",
       "L 304.747677 47.49028 \r\n",
       "L 305.052346 55.036196 \r\n",
       "L 305.357014 48.688039 \r\n",
       "L 305.661682 37.749537 \r\n",
       "L 305.966351 51.121151 \r\n",
       "L 306.271019 44.941026 \r\n",
       "L 306.575687 48.416511 \r\n",
       "L 306.880355 46.154476 \r\n",
       "L 307.185024 36.223568 \r\n",
       "L 307.489692 36.478454 \r\n",
       "L 307.79436 50.521904 \r\n",
       "L 308.099029 53.095186 \r\n",
       "L 308.403697 54.552452 \r\n",
       "L 308.708365 50.702953 \r\n",
       "L 309.013034 35.662396 \r\n",
       "L 309.317702 36.191381 \r\n",
       "L 309.62237 40.820848 \r\n",
       "L 309.927039 51.725488 \r\n",
       "L 310.231707 51.511004 \r\n",
       "L 310.536375 51.986738 \r\n",
       "L 310.841043 44.09274 \r\n",
       "L 311.145712 42.976189 \r\n",
       "L 311.45038 45.820918 \r\n",
       "L 311.755048 46.42983 \r\n",
       "L 312.059717 44.090509 \r\n",
       "L 312.364385 47.814937 \r\n",
       "L 312.973722 59.926527 \r\n",
       "L 313.27839 65.656565 \r\n",
       "L 313.583058 62.677788 \r\n",
       "L 313.887727 57.123732 \r\n",
       "L 314.497063 42.283169 \r\n",
       "L 314.801731 37.602569 \r\n",
       "L 315.1064 40.984272 \r\n",
       "L 315.715736 61.842382 \r\n",
       "L 316.020405 66.412107 \r\n",
       "L 316.325073 73.230544 \r\n",
       "L 316.629741 67.695961 \r\n",
       "L 316.93441 67.675933 \r\n",
       "L 317.239078 66.916218 \r\n",
       "L 317.543746 59.143925 \r\n",
       "L 317.848414 66.438475 \r\n",
       "L 318.153083 65.489427 \r\n",
       "L 318.457751 63.208004 \r\n",
       "L 318.762419 63.31401 \r\n",
       "L 319.067088 58.147129 \r\n",
       "L 319.371756 60.924531 \r\n",
       "L 319.676424 61.824392 \r\n",
       "L 319.981093 60.110858 \r\n",
       "L 320.285761 66.552519 \r\n",
       "L 320.590429 66.301108 \r\n",
       "L 320.895098 62.790209 \r\n",
       "L 321.199766 67.367336 \r\n",
       "L 321.504434 62.595403 \r\n",
       "L 321.809102 61.024745 \r\n",
       "L 322.113771 67.844842 \r\n",
       "L 322.418439 65.084443 \r\n",
       "L 322.723107 70.298368 \r\n",
       "L 323.027776 72.513674 \r\n",
       "L 323.332444 76.166808 \r\n",
       "L 323.637112 75.809988 \r\n",
       "L 323.941781 69.535323 \r\n",
       "L 324.246449 72.490878 \r\n",
       "L 324.551117 68.110256 \r\n",
       "L 325.160454 85.496207 \r\n",
       "L 325.465122 85.259564 \r\n",
       "L 325.76979 82.823384 \r\n",
       "L 326.074459 66.798573 \r\n",
       "L 326.379127 68.426158 \r\n",
       "L 326.683795 81.541645 \r\n",
       "L 327.293132 90.01898 \r\n",
       "L 327.5978 88.07918 \r\n",
       "L 327.902469 82.065639 \r\n",
       "L 328.207137 81.918284 \r\n",
       "L 328.511805 86.380838 \r\n",
       "L 328.816473 82.574301 \r\n",
       "L 329.121142 81.764985 \r\n",
       "L 329.42581 84.042183 \r\n",
       "L 329.730478 77.428241 \r\n",
       "L 330.035147 78.859474 \r\n",
       "L 330.339815 78.660846 \r\n",
       "L 330.949152 96.170994 \r\n",
       "L 331.25382 97.928051 \r\n",
       "L 331.558488 105.860721 \r\n",
       "L 331.863156 100.627307 \r\n",
       "L 332.167825 100.602424 \r\n",
       "L 332.472493 102.450898 \r\n",
       "L 332.777161 100.555567 \r\n",
       "L 333.08183 104.550795 \r\n",
       "L 333.386498 103.60337 \r\n",
       "L 333.691166 97.623689 \r\n",
       "L 333.995835 107.52645 \r\n",
       "L 334.300503 108.260029 \r\n",
       "L 334.605171 102.25244 \r\n",
       "L 334.90984 102.70996 \r\n",
       "L 335.519176 94.815354 \r\n",
       "L 335.823844 102.726156 \r\n",
       "L 336.128513 104.002539 \r\n",
       "L 336.433181 107.465191 \r\n",
       "L 336.737849 112.966749 \r\n",
       "L 337.042518 113.514269 \r\n",
       "L 337.347186 112.89638 \r\n",
       "L 337.651854 111.809833 \r\n",
       "L 337.956523 110.269486 \r\n",
       "L 338.261191 114.905105 \r\n",
       "L 338.565859 106.995285 \r\n",
       "L 338.870527 104.708749 \r\n",
       "L 339.784532 116.57055 \r\n",
       "L 340.089201 113.770204 \r\n",
       "L 340.393869 108.986766 \r\n",
       "L 340.698537 107.859632 \r\n",
       "L 341.307874 120.585243 \r\n",
       "L 341.612542 115.894165 \r\n",
       "L 341.917211 120.660633 \r\n",
       "L 342.221879 108.520358 \r\n",
       "L 342.831215 123.106168 \r\n",
       "L 343.135884 118.921166 \r\n",
       "L 343.440552 121.695634 \r\n",
       "L 343.74522 121.833756 \r\n",
       "L 344.049889 118.934103 \r\n",
       "L 344.354557 119.732137 \r\n",
       "L 344.659225 119.17548 \r\n",
       "L 344.963894 110.936132 \r\n",
       "L 346.182567 135.393701 \r\n",
       "L 346.487235 131.279242 \r\n",
       "L 347.096572 128.409414 \r\n",
       "L 347.40124 124.638638 \r\n",
       "L 347.705908 125.014742 \r\n",
       "L 348.315245 137.550874 \r\n",
       "L 348.619913 134.666633 \r\n",
       "L 348.924582 139.158248 \r\n",
       "L 349.22925 132.128985 \r\n",
       "L 349.838586 148.049505 \r\n",
       "L 350.143255 142.816512 \r\n",
       "L 350.447923 143.146189 \r\n",
       "L 350.752591 134.077792 \r\n",
       "L 351.05726 132.069801 \r\n",
       "L 351.361928 146.369664 \r\n",
       "L 351.666596 140.161615 \r\n",
       "L 352.275933 149.462739 \r\n",
       "L 352.580601 140.050917 \r\n",
       "L 352.88527 145.744076 \r\n",
       "L 353.189938 142.512281 \r\n",
       "L 353.799274 139.625633 \r\n",
       "L 354.103943 136.612562 \r\n",
       "L 354.408611 138.484436 \r\n",
       "L 354.713279 136.207691 \r\n",
       "L 355.322616 147.495009 \r\n",
       "L 355.931953 141.815875 \r\n",
       "L 356.236621 145.954694 \r\n",
       "L 356.541289 140.806252 \r\n",
       "L 356.845957 143.612471 \r\n",
       "L 357.150626 152.940822 \r\n",
       "L 357.455294 157.679904 \r\n",
       "L 357.759962 158.171421 \r\n",
       "L 358.064631 157.966885 \r\n",
       "L 358.064631 157.966885 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 38.482813 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 373.282813 228.14 \r\n",
       "L 373.282813 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path d=\"M 38.482813 228.14 \r\n",
       "L 373.282812 228.14 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 38.482813 10.7 \r\n",
       "L 373.282812 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_7\">\r\n",
       "     <path d=\"M 45.482813 223.14 \r\n",
       "L 121.485938 223.14 \r\n",
       "Q 123.485938 223.14 123.485938 221.14 \r\n",
       "L 123.485938 192.78375 \r\n",
       "Q 123.485938 190.78375 121.485938 190.78375 \r\n",
       "L 45.482813 190.78375 \r\n",
       "Q 43.482813 190.78375 43.482813 192.78375 \r\n",
       "L 43.482813 221.14 \r\n",
       "Q 43.482813 223.14 45.482813 223.14 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_16\">\r\n",
       "     <path d=\"M 47.482813 198.882187 \r\n",
       "L 67.482812 198.882187 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_17\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- data -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-64\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-61\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-74\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(75.482812 202.382187)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-64\"/>\r\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"163.964844\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_18\">\r\n",
       "     <path d=\"M 47.482813 213.560312 \r\n",
       "L 67.482812 213.560312 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_19\"/>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- estimate -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-65\"/>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-73\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-69\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-6d\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(75.482812 217.060312)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"113.623047\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-69\"/>\r\n",
       "      <use x=\"180.615234\" xlink:href=\"#DejaVuSans-6d\"/>\r\n",
       "      <use x=\"278.027344\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "      <use x=\"339.306641\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"378.515625\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p2775bb892c\">\r\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"38.482813\" y=\"10.7\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "estimates = net(features)\n",
    "plt.plot(time.numpy(), x.numpy(), label='data');\n",
    "plt.plot(time[embedding:].numpy(), estimates.detach().numpy(), label='estimate');\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This looks nice, just as we expected it. Even beyond 600 observations the estimates still look rather trustworthy. There's just one little problem to this - if we observe data only until time step 600, we cannot hope to receive the ground truth for all future predictions. Instead, we need to work our way forward one step at a time:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\begin{aligned}\n",
    "x_{601} & = f(x_{600}, \\ldots, x_{597}) \\\\\n",
    "x_{602} & = f(x_{601}, \\ldots, x_{598}) \\\\\n",
    "x_{603} & = f(x_{602}, \\ldots, x_{599})\n",
    "\\end{aligned}$$\n",
    "\n",
    "In other words, very quickly will we have to use our own predictions to make future predictions. Let's see how well this goes.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n",
       "<svg height=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 374.442187 252.018125\" width=\"374.442187pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 252.018125 \r\n",
       "L 374.442187 252.018125 \r\n",
       "L 374.442187 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 363.742188 228.14 \r\n",
       "L 363.742188 10.7 \r\n",
       "L 28.942188 10.7 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 3.5 \r\n",
       "\" id=\"m0b6a47301c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.160369\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-30\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(40.979119 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"105.09403\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 200 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-32\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(95.55028 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"166.027691\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- 400 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-34\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(156.483941 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"226.961352\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 600 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-36\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(217.417602 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"287.895013\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 800 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-38\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(278.351263 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"348.828674\" xlink:href=\"#m0b6a47301c\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 1000 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-31\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(336.103674 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L -3.5 0 \r\n",
       "\" id=\"m6ffc915a3a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6ffc915a3a\" y=\"207.110347\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- −3 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2212\"/>\r\n",
       "       <path d=\"M 40.578125 39.3125 \r\n",
       "Q 47.65625 37.796875 51.625 33 \r\n",
       "Q 55.609375 28.21875 55.609375 21.1875 \r\n",
       "Q 55.609375 10.40625 48.1875 4.484375 \r\n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \r\n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \r\n",
       "Q 12.796875 0.390625 7.625 2.203125 \r\n",
       "L 7.625 11.71875 \r\n",
       "Q 11.71875 9.328125 16.59375 8.109375 \r\n",
       "Q 21.484375 6.890625 26.8125 6.890625 \r\n",
       "Q 36.078125 6.890625 40.9375 10.546875 \r\n",
       "Q 45.796875 14.203125 45.796875 21.1875 \r\n",
       "Q 45.796875 27.640625 41.28125 31.265625 \r\n",
       "Q 36.765625 34.90625 28.71875 34.90625 \r\n",
       "L 20.21875 34.90625 \r\n",
       "L 20.21875 43.015625 \r\n",
       "L 29.109375 43.015625 \r\n",
       "Q 36.375 43.015625 40.234375 45.921875 \r\n",
       "Q 44.09375 48.828125 44.09375 54.296875 \r\n",
       "Q 44.09375 59.90625 40.109375 62.90625 \r\n",
       "Q 36.140625 65.921875 28.71875 65.921875 \r\n",
       "Q 24.65625 65.921875 20.015625 65.03125 \r\n",
       "Q 15.375 64.15625 9.8125 62.3125 \r\n",
       "L 9.8125 71.09375 \r\n",
       "Q 15.4375 72.65625 20.34375 73.4375 \r\n",
       "Q 25.25 74.21875 29.59375 74.21875 \r\n",
       "Q 40.828125 74.21875 47.359375 69.109375 \r\n",
       "Q 53.90625 64.015625 53.90625 55.328125 \r\n",
       "Q 53.90625 49.265625 50.4375 45.09375 \r\n",
       "Q 46.96875 40.921875 40.578125 39.3125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-33\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(7.2 210.909565)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-33\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6ffc915a3a\" y=\"165.005183\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- −2 -->\r\n",
       "      <g transform=\"translate(7.2 168.804402)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6ffc915a3a\" y=\"122.90002\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- −1 -->\r\n",
       "      <g transform=\"translate(7.2 126.699238)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6ffc915a3a\" y=\"80.794856\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g transform=\"translate(15.579688 84.594075)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6ffc915a3a\" y=\"38.689693\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 1 -->\r\n",
       "      <g transform=\"translate(15.579688 42.488911)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_12\">\r\n",
       "    <path clip-path=\"url(#p452e65fab8)\" d=\"M 44.160369 71.81357 \r\n",
       "L 44.465038 74.618041 \r\n",
       "L 44.769706 70.488179 \r\n",
       "L 45.379043 92.572928 \r\n",
       "L 45.683711 86.624498 \r\n",
       "L 45.988379 77.341504 \r\n",
       "L 46.293047 72.9379 \r\n",
       "L 46.597716 77.898431 \r\n",
       "L 46.902384 74.101867 \r\n",
       "L 47.207052 65.374132 \r\n",
       "L 47.511721 90.253595 \r\n",
       "L 47.816389 82.269758 \r\n",
       "L 48.121057 60.630793 \r\n",
       "L 48.425726 79.985922 \r\n",
       "L 48.730394 82.830092 \r\n",
       "L 49.035062 74.910358 \r\n",
       "L 49.33973 74.907164 \r\n",
       "L 49.644399 86.742704 \r\n",
       "L 49.949067 63.602257 \r\n",
       "L 50.253735 83.625881 \r\n",
       "L 50.558404 72.866738 \r\n",
       "L 50.863072 68.665259 \r\n",
       "L 51.16774 73.534992 \r\n",
       "L 51.472409 73.413852 \r\n",
       "L 51.777077 65.988199 \r\n",
       "L 52.081745 74.895564 \r\n",
       "L 52.386414 52.892246 \r\n",
       "L 52.691082 64.39685 \r\n",
       "L 52.99575 58.517047 \r\n",
       "L 53.605087 59.389965 \r\n",
       "L 53.909755 76.928182 \r\n",
       "L 54.214423 73.710131 \r\n",
       "L 54.519092 65.568433 \r\n",
       "L 54.82376 64.928781 \r\n",
       "L 55.128428 76.598723 \r\n",
       "L 55.433097 63.360994 \r\n",
       "L 55.737765 57.879863 \r\n",
       "L 56.042433 69.546377 \r\n",
       "L 56.347102 68.103471 \r\n",
       "L 56.65177 57.221689 \r\n",
       "L 56.956438 69.23333 \r\n",
       "L 57.261106 54.669284 \r\n",
       "L 57.565775 58.442359 \r\n",
       "L 57.870443 48.23987 \r\n",
       "L 58.175111 68.759359 \r\n",
       "L 58.47978 66.252832 \r\n",
       "L 58.784448 74.301008 \r\n",
       "L 59.089116 42.851482 \r\n",
       "L 59.393785 42.93472 \r\n",
       "L 59.698453 63.365749 \r\n",
       "L 60.307789 57.207786 \r\n",
       "L 60.917126 38.517695 \r\n",
       "L 61.221794 58.277301 \r\n",
       "L 61.526463 42.864126 \r\n",
       "L 61.831131 58.046804 \r\n",
       "L 62.440468 52.152199 \r\n",
       "L 62.745136 60.726802 \r\n",
       "L 63.049804 73.851806 \r\n",
       "L 63.354473 41.952551 \r\n",
       "L 63.659141 60.778828 \r\n",
       "L 63.963809 43.016282 \r\n",
       "L 64.268477 50.694328 \r\n",
       "L 64.573146 68.038765 \r\n",
       "L 64.877814 52.906423 \r\n",
       "L 65.182482 49.034377 \r\n",
       "L 65.487151 55.479812 \r\n",
       "L 65.791819 58.31088 \r\n",
       "L 66.096487 47.21864 \r\n",
       "L 66.401156 52.082611 \r\n",
       "L 66.705824 60.869832 \r\n",
       "L 67.010492 57.422374 \r\n",
       "L 67.31516 56.524188 \r\n",
       "L 67.619829 66.042209 \r\n",
       "L 67.924497 58.916056 \r\n",
       "L 68.229165 38.267186 \r\n",
       "L 68.533834 37.675523 \r\n",
       "L 68.838502 43.053478 \r\n",
       "L 69.14317 52.674749 \r\n",
       "L 69.447839 36.151545 \r\n",
       "L 69.752507 51.30449 \r\n",
       "L 70.057175 46.250224 \r\n",
       "L 70.361844 38.721907 \r\n",
       "L 70.666512 40.430731 \r\n",
       "L 71.275848 48.332168 \r\n",
       "L 71.580517 43.06891 \r\n",
       "L 71.885185 32.237695 \r\n",
       "L 72.189853 59.395519 \r\n",
       "L 72.494522 40.532581 \r\n",
       "L 72.79919 57.411219 \r\n",
       "L 73.103858 50.979567 \r\n",
       "L 73.408527 41.673032 \r\n",
       "L 73.713195 38.455069 \r\n",
       "L 74.017863 48.075698 \r\n",
       "L 74.322531 46.411899 \r\n",
       "L 74.6272 48.284532 \r\n",
       "L 74.931868 45.365869 \r\n",
       "L 75.236536 48.188678 \r\n",
       "L 75.541205 55.103345 \r\n",
       "L 76.150541 23.59729 \r\n",
       "L 76.45521 31.878291 \r\n",
       "L 76.759878 44.335898 \r\n",
       "L 77.064546 50.373736 \r\n",
       "L 77.369215 45.06953 \r\n",
       "L 77.673883 44.628813 \r\n",
       "L 77.978551 51.722291 \r\n",
       "L 78.283219 49.460076 \r\n",
       "L 78.587888 44.047355 \r\n",
       "L 78.892556 48.043308 \r\n",
       "L 79.197224 39.556932 \r\n",
       "L 79.501893 40.727243 \r\n",
       "L 79.806561 25.714944 \r\n",
       "L 80.111229 45.484631 \r\n",
       "L 80.415898 49.612423 \r\n",
       "L 80.720566 41.539488 \r\n",
       "L 81.025234 60.719178 \r\n",
       "L 81.329902 36.247529 \r\n",
       "L 81.634571 27.02934 \r\n",
       "L 81.939239 47.384993 \r\n",
       "L 82.243907 48.10015 \r\n",
       "L 82.548576 33.735512 \r\n",
       "L 82.853244 48.226993 \r\n",
       "L 83.157912 31.157546 \r\n",
       "L 83.462581 33.376796 \r\n",
       "L 83.767249 39.692976 \r\n",
       "L 84.376586 33.838579 \r\n",
       "L 84.681254 35.177835 \r\n",
       "L 84.985922 28.693869 \r\n",
       "L 85.29059 56.423109 \r\n",
       "L 85.595259 51.617586 \r\n",
       "L 85.899927 38.817332 \r\n",
       "L 86.204595 44.27533 \r\n",
       "L 86.509264 65.900072 \r\n",
       "L 86.813932 35.878774 \r\n",
       "L 87.1186 42.511114 \r\n",
       "L 87.423269 39.902066 \r\n",
       "L 87.727937 42.794149 \r\n",
       "L 88.032605 41.054523 \r\n",
       "L 88.337273 43.992717 \r\n",
       "L 88.641942 38.308374 \r\n",
       "L 88.94661 36.198526 \r\n",
       "L 89.251278 37.990761 \r\n",
       "L 89.555947 40.817262 \r\n",
       "L 89.860615 40.136079 \r\n",
       "L 90.165283 31.871224 \r\n",
       "L 90.469952 44.103624 \r\n",
       "L 90.77462 32.705561 \r\n",
       "L 91.079288 40.740713 \r\n",
       "L 91.383957 43.626241 \r\n",
       "L 91.993293 32.165482 \r\n",
       "L 92.297961 34.252021 \r\n",
       "L 92.60263 35.179035 \r\n",
       "L 92.907298 63.9711 \r\n",
       "L 93.211966 21.448617 \r\n",
       "L 93.516635 35.455741 \r\n",
       "L 93.821303 43.050579 \r\n",
       "L 94.125971 34.864178 \r\n",
       "L 94.43064 50.19938 \r\n",
       "L 94.735308 35.026282 \r\n",
       "L 95.039976 50.155767 \r\n",
       "L 95.344645 48.092992 \r\n",
       "L 95.649313 41.896789 \r\n",
       "L 96.258649 51.554352 \r\n",
       "L 96.563318 49.832462 \r\n",
       "L 96.867986 30.663077 \r\n",
       "L 97.172654 33.588988 \r\n",
       "L 97.477323 42.107884 \r\n",
       "L 97.781991 32.998138 \r\n",
       "L 98.086659 48.019241 \r\n",
       "L 98.391328 20.583636 \r\n",
       "L 98.695996 50.194027 \r\n",
       "L 99.000664 35.147925 \r\n",
       "L 99.305332 45.039708 \r\n",
       "L 99.610001 36.429209 \r\n",
       "L 99.914669 46.376367 \r\n",
       "L 100.219337 44.229787 \r\n",
       "L 100.524006 36.125113 \r\n",
       "L 100.828674 37.682083 \r\n",
       "L 101.133342 28.946206 \r\n",
       "L 101.438011 27.349699 \r\n",
       "L 102.047347 30.847853 \r\n",
       "L 102.352016 35.719295 \r\n",
       "L 102.656684 25.248338 \r\n",
       "L 102.961352 47.9276 \r\n",
       "L 103.26602 27.911602 \r\n",
       "L 103.570689 33.31563 \r\n",
       "L 103.875357 26.564857 \r\n",
       "L 104.484694 46.91542 \r\n",
       "L 104.789362 35.665528 \r\n",
       "L 105.09403 29.589157 \r\n",
       "L 105.398699 51.533331 \r\n",
       "L 105.703367 51.318361 \r\n",
       "L 106.008035 50.478299 \r\n",
       "L 106.312703 35.095915 \r\n",
       "L 106.617372 35.231442 \r\n",
       "L 106.92204 32.671535 \r\n",
       "L 107.226708 50.649742 \r\n",
       "L 107.836045 44.980766 \r\n",
       "L 108.140713 64.587437 \r\n",
       "L 108.445382 42.457721 \r\n",
       "L 108.75005 53.704431 \r\n",
       "L 109.359387 35.54381 \r\n",
       "L 109.664055 53.557498 \r\n",
       "L 109.968723 38.471297 \r\n",
       "L 110.273391 49.376424 \r\n",
       "L 110.57806 49.552725 \r\n",
       "L 110.882728 32.135461 \r\n",
       "L 111.187396 55.367224 \r\n",
       "L 111.492065 58.185621 \r\n",
       "L 111.796733 34.992748 \r\n",
       "L 112.101401 48.005824 \r\n",
       "L 112.40607 55.781167 \r\n",
       "L 112.710738 39.899393 \r\n",
       "L 113.015406 45.73433 \r\n",
       "L 113.320074 60.99144 \r\n",
       "L 113.929411 33.73243 \r\n",
       "L 114.234079 47.69053 \r\n",
       "L 114.538748 55.587818 \r\n",
       "L 114.843416 55.116902 \r\n",
       "L 115.148084 54.050664 \r\n",
       "L 115.452753 56.987189 \r\n",
       "L 116.062089 39.059258 \r\n",
       "L 116.671426 45.064227 \r\n",
       "L 116.976094 51.062097 \r\n",
       "L 117.280762 48.580973 \r\n",
       "L 117.585431 48.570553 \r\n",
       "L 117.890099 50.117972 \r\n",
       "L 118.194767 58.274016 \r\n",
       "L 118.499436 61.679463 \r\n",
       "L 118.804104 37.511591 \r\n",
       "L 119.108772 41.813576 \r\n",
       "L 119.413441 64.329214 \r\n",
       "L 119.718109 57.107685 \r\n",
       "L 120.022777 55.792596 \r\n",
       "L 120.327445 66.369842 \r\n",
       "L 120.632114 51.806744 \r\n",
       "L 120.936782 56.469023 \r\n",
       "L 121.24145 56.74138 \r\n",
       "L 121.546119 55.740827 \r\n",
       "L 121.850787 59.432878 \r\n",
       "L 122.155455 57.21293 \r\n",
       "L 122.460124 57.602935 \r\n",
       "L 122.764792 56.744258 \r\n",
       "L 123.06946 65.348457 \r\n",
       "L 123.374129 53.659029 \r\n",
       "L 123.983465 58.2088 \r\n",
       "L 124.288133 53.676699 \r\n",
       "L 124.592802 68.423125 \r\n",
       "L 124.89747 57.263289 \r\n",
       "L 125.202138 64.273302 \r\n",
       "L 125.506807 61.963466 \r\n",
       "L 125.811475 57.702857 \r\n",
       "L 126.116143 72.266056 \r\n",
       "L 126.420812 55.710044 \r\n",
       "L 126.72548 69.867112 \r\n",
       "L 127.030148 49.63313 \r\n",
       "L 127.334816 66.105619 \r\n",
       "L 127.639485 44.216006 \r\n",
       "L 127.944153 60.596852 \r\n",
       "L 128.248821 64.198735 \r\n",
       "L 128.55349 60.541916 \r\n",
       "L 128.858158 69.141743 \r\n",
       "L 129.162826 57.588813 \r\n",
       "L 129.467495 72.782346 \r\n",
       "L 129.772163 79.183637 \r\n",
       "L 130.076831 62.366528 \r\n",
       "L 130.3815 82.254771 \r\n",
       "L 130.686168 61.844085 \r\n",
       "L 130.990836 79.614439 \r\n",
       "L 131.295504 73.166185 \r\n",
       "L 131.600173 74.439074 \r\n",
       "L 131.904841 71.485244 \r\n",
       "L 132.209509 85.39786 \r\n",
       "L 132.514178 66.462288 \r\n",
       "L 132.818846 68.254977 \r\n",
       "L 133.123514 79.327123 \r\n",
       "L 133.428183 76.919502 \r\n",
       "L 133.732851 70.185734 \r\n",
       "L 134.037519 70.186089 \r\n",
       "L 134.342187 85.61651 \r\n",
       "L 134.646856 70.80284 \r\n",
       "L 134.951524 91.524573 \r\n",
       "L 135.256192 86.518069 \r\n",
       "L 135.560861 71.240447 \r\n",
       "L 135.865529 80.41915 \r\n",
       "L 136.170197 73.707564 \r\n",
       "L 136.474866 75.433833 \r\n",
       "L 136.779534 85.688147 \r\n",
       "L 137.084202 84.628628 \r\n",
       "L 137.693539 67.439889 \r\n",
       "L 137.998207 80.825162 \r\n",
       "L 138.302875 73.907668 \r\n",
       "L 138.607544 87.276638 \r\n",
       "L 138.912212 72.477817 \r\n",
       "L 139.21688 77.096488 \r\n",
       "L 139.521549 94.531487 \r\n",
       "L 139.826217 93.230476 \r\n",
       "L 140.130885 79.965292 \r\n",
       "L 140.435554 83.824604 \r\n",
       "L 140.740222 92.56328 \r\n",
       "L 141.04489 73.531901 \r\n",
       "L 141.349559 75.389427 \r\n",
       "L 141.654227 83.092837 \r\n",
       "L 141.958895 82.446412 \r\n",
       "L 142.263563 90.768122 \r\n",
       "L 142.568232 79.986198 \r\n",
       "L 142.8729 78.675795 \r\n",
       "L 143.177568 74.9012 \r\n",
       "L 143.482237 91.760653 \r\n",
       "L 143.786905 79.699657 \r\n",
       "L 144.091573 86.509971 \r\n",
       "L 144.396242 82.061301 \r\n",
       "L 144.70091 64.818432 \r\n",
       "L 145.005578 84.937701 \r\n",
       "L 145.310246 77.309769 \r\n",
       "L 145.614915 91.930964 \r\n",
       "L 145.919583 77.825352 \r\n",
       "L 146.224251 71.790746 \r\n",
       "L 146.52892 72.29839 \r\n",
       "L 146.833588 79.476142 \r\n",
       "L 147.138256 99.526017 \r\n",
       "L 147.442925 91.997805 \r\n",
       "L 147.747593 99.222887 \r\n",
       "L 148.052261 87.233433 \r\n",
       "L 148.35693 88.222732 \r\n",
       "L 148.661598 86.966563 \r\n",
       "L 148.966266 87.903191 \r\n",
       "L 149.270934 84.435458 \r\n",
       "L 149.575603 92.004732 \r\n",
       "L 149.880271 94.821835 \r\n",
       "L 150.184939 89.956358 \r\n",
       "L 150.489608 78.783661 \r\n",
       "L 150.794276 101.766871 \r\n",
       "L 151.098944 102.122612 \r\n",
       "L 151.403613 87.776507 \r\n",
       "L 152.012949 106.42097 \r\n",
       "L 152.317617 91.453213 \r\n",
       "L 152.926954 104.398742 \r\n",
       "L 153.231622 90.306605 \r\n",
       "L 153.536291 107.563191 \r\n",
       "L 153.840959 113.036345 \r\n",
       "L 154.145627 94.869374 \r\n",
       "L 154.450296 101.55676 \r\n",
       "L 154.754964 111.950103 \r\n",
       "L 155.059632 108.861726 \r\n",
       "L 155.364301 108.683578 \r\n",
       "L 155.668969 97.081961 \r\n",
       "L 155.973637 110.605187 \r\n",
       "L 156.278305 93.424365 \r\n",
       "L 156.887642 101.380902 \r\n",
       "L 157.19231 98.833804 \r\n",
       "L 157.496979 105.739838 \r\n",
       "L 157.801647 131.030877 \r\n",
       "L 158.106315 109.507023 \r\n",
       "L 158.410984 115.372392 \r\n",
       "L 158.715652 107.826455 \r\n",
       "L 159.02032 104.7956 \r\n",
       "L 159.324988 105.66375 \r\n",
       "L 159.629657 109.451133 \r\n",
       "L 159.934325 106.542787 \r\n",
       "L 160.238993 99.974961 \r\n",
       "L 160.543662 99.165333 \r\n",
       "L 160.84833 111.238473 \r\n",
       "L 161.152998 107.287281 \r\n",
       "L 161.457667 112.535313 \r\n",
       "L 161.762335 110.652958 \r\n",
       "L 162.067003 112.138096 \r\n",
       "L 162.371672 110.530873 \r\n",
       "L 162.67634 110.230988 \r\n",
       "L 162.981008 112.010611 \r\n",
       "L 163.285676 105.333852 \r\n",
       "L 163.590345 106.245721 \r\n",
       "L 163.895013 118.163181 \r\n",
       "L 164.199681 102.78155 \r\n",
       "L 164.50435 111.3243 \r\n",
       "L 165.113686 116.406268 \r\n",
       "L 165.418355 129.449543 \r\n",
       "L 165.723023 111.317831 \r\n",
       "L 166.027691 116.61894 \r\n",
       "L 166.332359 106.074087 \r\n",
       "L 166.637028 108.534546 \r\n",
       "L 166.941696 120.30618 \r\n",
       "L 167.246364 108.135158 \r\n",
       "L 167.551033 111.589938 \r\n",
       "L 168.160369 124.273925 \r\n",
       "L 168.465038 126.370131 \r\n",
       "L 168.769706 110.811222 \r\n",
       "L 169.379043 115.234657 \r\n",
       "L 169.683711 100.917983 \r\n",
       "L 169.988379 125.510576 \r\n",
       "L 170.597716 117.407757 \r\n",
       "L 170.902384 126.148593 \r\n",
       "L 171.207052 113.925213 \r\n",
       "L 171.511721 125.054551 \r\n",
       "L 171.816389 118.915726 \r\n",
       "L 172.121057 109.059824 \r\n",
       "L 172.425726 112.031175 \r\n",
       "L 172.730394 118.567023 \r\n",
       "L 173.035062 116.755335 \r\n",
       "L 173.33973 122.303769 \r\n",
       "L 173.644399 120.931512 \r\n",
       "L 173.949067 120.884235 \r\n",
       "L 174.253735 123.841791 \r\n",
       "L 174.558404 119.34267 \r\n",
       "L 174.863072 118.206641 \r\n",
       "L 175.16774 108.086089 \r\n",
       "L 175.472409 128.936523 \r\n",
       "L 175.777077 124.442835 \r\n",
       "L 176.081745 134.188927 \r\n",
       "L 176.386414 125.857015 \r\n",
       "L 176.691082 105.330248 \r\n",
       "L 176.99575 120.010544 \r\n",
       "L 177.300418 117.770627 \r\n",
       "L 177.605087 103.842023 \r\n",
       "L 177.909755 127.095494 \r\n",
       "L 178.214423 122.99358 \r\n",
       "L 178.519092 124.153591 \r\n",
       "L 178.82376 130.835881 \r\n",
       "L 179.128428 112.557208 \r\n",
       "L 179.433097 110.130777 \r\n",
       "L 179.737765 126.726513 \r\n",
       "L 180.042433 120.957412 \r\n",
       "L 180.347102 126.409683 \r\n",
       "L 180.65177 124.744326 \r\n",
       "L 180.956438 126.627633 \r\n",
       "L 181.261106 124.373639 \r\n",
       "L 181.565775 111.118676 \r\n",
       "L 181.870443 130.993172 \r\n",
       "L 182.175111 118.106693 \r\n",
       "L 182.47978 129.476462 \r\n",
       "L 182.784448 122.198862 \r\n",
       "L 183.089116 108.152515 \r\n",
       "L 183.393785 131.458584 \r\n",
       "L 183.698453 117.888242 \r\n",
       "L 184.003121 118.213253 \r\n",
       "L 184.307789 110.634085 \r\n",
       "L 184.612458 124.197591 \r\n",
       "L 184.917126 119.674367 \r\n",
       "L 185.221794 117.50857 \r\n",
       "L 185.526463 118.370446 \r\n",
       "L 185.831131 128.237913 \r\n",
       "L 186.135799 114.01094 \r\n",
       "L 186.440468 119.267192 \r\n",
       "L 186.745136 140.764405 \r\n",
       "L 187.354473 113.73819 \r\n",
       "L 187.659141 124.724123 \r\n",
       "L 187.963809 118.773719 \r\n",
       "L 188.268477 121.019331 \r\n",
       "L 188.573146 128.884658 \r\n",
       "L 188.877814 126.386966 \r\n",
       "L 189.182482 128.878961 \r\n",
       "L 189.487151 117.49111 \r\n",
       "L 189.791819 119.761342 \r\n",
       "L 190.096487 116.352569 \r\n",
       "L 190.401156 117.585511 \r\n",
       "L 190.705824 124.303785 \r\n",
       "L 191.010492 121.512788 \r\n",
       "L 191.31516 112.681461 \r\n",
       "L 191.619829 132.086497 \r\n",
       "L 191.924497 129.572712 \r\n",
       "L 192.533834 105.993788 \r\n",
       "L 192.838502 128.456745 \r\n",
       "L 193.447839 116.87346 \r\n",
       "L 193.752507 132.567855 \r\n",
       "L 194.057175 128.257448 \r\n",
       "L 194.361844 110.920137 \r\n",
       "L 194.666512 127.639052 \r\n",
       "L 194.97118 113.905042 \r\n",
       "L 195.275848 116.172845 \r\n",
       "L 195.580517 120.942307 \r\n",
       "L 195.885185 131.282275 \r\n",
       "L 196.189853 122.393577 \r\n",
       "L 196.494522 123.516383 \r\n",
       "L 196.79919 110.781182 \r\n",
       "L 197.103858 143.76255 \r\n",
       "L 197.713195 105.220576 \r\n",
       "L 198.017863 113.739605 \r\n",
       "L 198.322531 115.08144 \r\n",
       "L 198.6272 122.289414 \r\n",
       "L 198.931868 110.022583 \r\n",
       "L 199.541205 128.991535 \r\n",
       "L 199.845873 108.575253 \r\n",
       "L 200.150541 103.579432 \r\n",
       "L 200.45521 129.230685 \r\n",
       "L 200.759878 128.846295 \r\n",
       "L 201.064546 114.473338 \r\n",
       "L 201.369215 117.290992 \r\n",
       "L 201.673883 115.215353 \r\n",
       "L 201.978551 123.763208 \r\n",
       "L 202.283219 116.978311 \r\n",
       "L 202.587888 122.480833 \r\n",
       "L 202.892556 116.301992 \r\n",
       "L 203.197224 123.708608 \r\n",
       "L 203.501893 113.57136 \r\n",
       "L 204.111229 119.546249 \r\n",
       "L 204.415898 119.08052 \r\n",
       "L 204.720566 112.851619 \r\n",
       "L 205.025234 121.073873 \r\n",
       "L 205.329902 122.479701 \r\n",
       "L 205.634571 116.96895 \r\n",
       "L 206.243907 116.018091 \r\n",
       "L 206.853244 111.610959 \r\n",
       "L 207.157912 112.33181 \r\n",
       "L 207.462581 108.152046 \r\n",
       "L 207.767249 107.429343 \r\n",
       "L 208.071917 114.502365 \r\n",
       "L 208.376586 111.331536 \r\n",
       "L 208.681254 118.790067 \r\n",
       "L 208.985922 108.764025 \r\n",
       "L 209.29059 125.3116 \r\n",
       "L 209.595259 115.128644 \r\n",
       "L 209.899927 123.146629 \r\n",
       "L 210.204595 114.111174 \r\n",
       "L 210.509264 101.473591 \r\n",
       "L 210.813932 105.852602 \r\n",
       "L 211.1186 112.042536 \r\n",
       "L 211.423269 123.160613 \r\n",
       "L 211.727937 112.066313 \r\n",
       "L 212.032605 108.189864 \r\n",
       "L 212.337273 115.419813 \r\n",
       "L 212.641942 113.770125 \r\n",
       "L 212.94661 120.314027 \r\n",
       "L 213.251278 102.2513 \r\n",
       "L 213.555947 104.585117 \r\n",
       "L 213.860615 105.217755 \r\n",
       "L 214.469952 94.758612 \r\n",
       "L 214.77462 116.028699 \r\n",
       "L 215.079288 98.065609 \r\n",
       "L 215.383957 121.15232 \r\n",
       "L 215.688625 109.116665 \r\n",
       "L 215.993293 105.109619 \r\n",
       "L 216.297961 105.513936 \r\n",
       "L 216.60263 112.655446 \r\n",
       "L 216.907298 114.433419 \r\n",
       "L 217.211966 108.777933 \r\n",
       "L 217.516635 85.103291 \r\n",
       "L 217.821303 93.246943 \r\n",
       "L 218.125971 110.004991 \r\n",
       "L 218.43064 108.577999 \r\n",
       "L 218.735308 103.421619 \r\n",
       "L 219.039976 108.136175 \r\n",
       "L 219.344645 86.196202 \r\n",
       "L 219.649313 81.557033 \r\n",
       "L 219.953981 90.965065 \r\n",
       "L 220.258649 89.430849 \r\n",
       "L 220.563318 118.050276 \r\n",
       "L 220.867986 103.781389 \r\n",
       "L 221.172654 104.829121 \r\n",
       "L 221.477323 114.957849 \r\n",
       "L 221.781991 103.386253 \r\n",
       "L 222.086659 103.930642 \r\n",
       "L 222.391328 91.512664 \r\n",
       "L 222.695996 90.094225 \r\n",
       "L 223.000664 90.724662 \r\n",
       "L 223.305332 118.298667 \r\n",
       "L 223.610001 91.174313 \r\n",
       "L 223.914669 95.513 \r\n",
       "L 224.219337 91.708278 \r\n",
       "L 224.524006 86.463638 \r\n",
       "L 224.828674 97.344217 \r\n",
       "L 225.133342 86.004552 \r\n",
       "L 225.438011 87.576154 \r\n",
       "L 225.742679 100.199892 \r\n",
       "L 226.047347 99.440583 \r\n",
       "L 226.352016 101.906345 \r\n",
       "L 226.656684 95.439835 \r\n",
       "L 226.961352 84.353613 \r\n",
       "L 227.26602 104.110105 \r\n",
       "L 227.570689 94.70269 \r\n",
       "L 227.875357 81.416895 \r\n",
       "L 228.180025 95.281815 \r\n",
       "L 228.484694 96.941916 \r\n",
       "L 228.789362 84.2303 \r\n",
       "L 229.09403 87.009102 \r\n",
       "L 229.398699 91.544324 \r\n",
       "L 229.703367 79.044678 \r\n",
       "L 230.008035 83.732523 \r\n",
       "L 230.312703 96.733402 \r\n",
       "L 230.617372 88.913483 \r\n",
       "L 230.92204 102.717081 \r\n",
       "L 231.226708 92.156015 \r\n",
       "L 231.531377 94.497856 \r\n",
       "L 231.836045 73.870893 \r\n",
       "L 232.140713 91.400725 \r\n",
       "L 232.445382 101.69418 \r\n",
       "L 233.054718 83.961522 \r\n",
       "L 233.359387 84.54492 \r\n",
       "L 233.664055 77.735702 \r\n",
       "L 233.968723 80.135992 \r\n",
       "L 234.273391 93.478533 \r\n",
       "L 234.57806 75.154626 \r\n",
       "L 234.882728 75.978962 \r\n",
       "L 235.187396 88.674597 \r\n",
       "L 235.492065 80.398078 \r\n",
       "L 236.101401 103.458172 \r\n",
       "L 236.40607 81.350544 \r\n",
       "L 236.710738 82.599306 \r\n",
       "L 237.015406 69.77114 \r\n",
       "L 237.320074 85.475964 \r\n",
       "L 237.624743 73.155654 \r\n",
       "L 237.929411 77.592378 \r\n",
       "L 238.234079 64.56893 \r\n",
       "L 238.538748 92.097012 \r\n",
       "L 238.843416 56.800184 \r\n",
       "L 239.452753 82.859197 \r\n",
       "L 239.757421 83.400994 \r\n",
       "L 240.062089 73.271059 \r\n",
       "L 240.366758 86.290222 \r\n",
       "L 240.976094 62.74401 \r\n",
       "L 241.280762 80.80801 \r\n",
       "L 241.585431 63.815762 \r\n",
       "L 241.890099 68.946359 \r\n",
       "L 242.194767 54.545856 \r\n",
       "L 242.499436 74.062358 \r\n",
       "L 242.804104 78.357164 \r\n",
       "L 243.108772 52.937373 \r\n",
       "L 243.718109 64.949739 \r\n",
       "L 244.022777 64.923733 \r\n",
       "L 244.327445 75.516864 \r\n",
       "L 244.936782 60.405654 \r\n",
       "L 245.24145 69.321032 \r\n",
       "L 245.546119 66.252233 \r\n",
       "L 245.850787 65.175879 \r\n",
       "L 246.155455 56.184955 \r\n",
       "L 246.460124 62.272988 \r\n",
       "L 246.764792 78.150813 \r\n",
       "L 247.06946 56.094549 \r\n",
       "L 247.374129 68.907975 \r\n",
       "L 247.678797 68.80515 \r\n",
       "L 247.983465 63.31079 \r\n",
       "L 248.592802 73.666048 \r\n",
       "L 248.89747 58.245363 \r\n",
       "L 249.202138 59.672267 \r\n",
       "L 249.506807 53.422694 \r\n",
       "L 249.811475 57.650385 \r\n",
       "L 250.116143 53.951914 \r\n",
       "L 250.420812 64.560168 \r\n",
       "L 250.72548 49.410673 \r\n",
       "L 251.334816 67.749458 \r\n",
       "L 251.639485 59.866392 \r\n",
       "L 251.944153 56.07141 \r\n",
       "L 252.248821 71.583472 \r\n",
       "L 252.55349 71.536525 \r\n",
       "L 252.858158 56.65891 \r\n",
       "L 253.162826 72.897356 \r\n",
       "L 253.467495 68.231654 \r\n",
       "L 253.772163 47.227457 \r\n",
       "L 254.076831 57.495225 \r\n",
       "L 254.3815 56.337638 \r\n",
       "L 254.686168 71.898311 \r\n",
       "L 255.295504 48.526516 \r\n",
       "L 255.600173 61.903462 \r\n",
       "L 255.904841 62.958389 \r\n",
       "L 256.209509 54.535087 \r\n",
       "L 256.514178 62.761402 \r\n",
       "L 256.818846 55.727812 \r\n",
       "L 257.123514 52.20033 \r\n",
       "L 257.428183 54.117281 \r\n",
       "L 257.732851 58.493551 \r\n",
       "L 258.037519 56.921857 \r\n",
       "L 258.342187 58.831959 \r\n",
       "L 258.646856 74.897554 \r\n",
       "L 258.951524 56.919234 \r\n",
       "L 259.256192 51.634348 \r\n",
       "L 259.560861 58.031748 \r\n",
       "L 259.865529 56.290012 \r\n",
       "L 260.170197 50.4176 \r\n",
       "L 260.474866 55.69224 \r\n",
       "L 260.779534 34.320344 \r\n",
       "L 261.084202 45.556676 \r\n",
       "L 261.388871 44.273249 \r\n",
       "L 261.693539 46.190351 \r\n",
       "L 261.998207 41.718349 \r\n",
       "L 262.302875 54.347791 \r\n",
       "L 262.607544 57.211806 \r\n",
       "L 262.912212 51.880556 \r\n",
       "L 263.21688 57.639704 \r\n",
       "L 263.521549 40.445453 \r\n",
       "L 263.826217 49.738418 \r\n",
       "L 264.130885 49.886854 \r\n",
       "L 264.435554 50.347671 \r\n",
       "L 264.740222 31.456903 \r\n",
       "L 265.04489 46.392291 \r\n",
       "L 265.349559 36.087217 \r\n",
       "L 265.654227 47.401713 \r\n",
       "L 265.958895 34.426859 \r\n",
       "L 266.263563 38.658944 \r\n",
       "L 266.568232 53.987955 \r\n",
       "L 266.8729 59.816303 \r\n",
       "L 267.177568 48.687341 \r\n",
       "L 267.482237 50.770349 \r\n",
       "L 267.786905 38.510242 \r\n",
       "L 268.091573 37.378896 \r\n",
       "L 268.396242 37.881129 \r\n",
       "L 268.70091 47.623444 \r\n",
       "L 269.005578 61.612002 \r\n",
       "L 269.310246 32.430166 \r\n",
       "L 269.614915 36.252368 \r\n",
       "L 269.919583 42.504895 \r\n",
       "L 270.224251 44.977958 \r\n",
       "L 270.52892 33.023274 \r\n",
       "L 271.138256 43.355817 \r\n",
       "L 271.442925 32.420825 \r\n",
       "L 271.747593 31.419705 \r\n",
       "L 272.052261 52.679974 \r\n",
       "L 272.35693 41.110494 \r\n",
       "L 272.661598 43.769111 \r\n",
       "L 272.966266 44.300017 \r\n",
       "L 273.270934 41.694623 \r\n",
       "L 273.575603 36.91766 \r\n",
       "L 273.880271 43.842777 \r\n",
       "L 274.184939 58.067426 \r\n",
       "L 274.489608 54.117517 \r\n",
       "L 274.794276 42.015293 \r\n",
       "L 275.098944 51.685244 \r\n",
       "L 275.708281 31.251347 \r\n",
       "L 276.012949 32.680113 \r\n",
       "L 276.317617 28.185437 \r\n",
       "L 276.622286 43.414154 \r\n",
       "L 276.926954 33.6792 \r\n",
       "L 277.231622 41.235184 \r\n",
       "L 277.536291 40.709658 \r\n",
       "L 277.840959 43.958342 \r\n",
       "L 278.145627 38.499852 \r\n",
       "L 278.450296 47.40037 \r\n",
       "L 278.754964 28.768612 \r\n",
       "L 279.059632 43.883958 \r\n",
       "L 279.364301 33.151187 \r\n",
       "L 279.668969 34.660749 \r\n",
       "L 279.973637 46.632225 \r\n",
       "L 280.278305 41.095604 \r\n",
       "L 280.582974 33.01164 \r\n",
       "L 280.887642 35.788286 \r\n",
       "L 281.19231 40.414783 \r\n",
       "L 281.496979 50.897152 \r\n",
       "L 281.801647 35.038629 \r\n",
       "L 282.106315 45.727396 \r\n",
       "L 282.410984 29.939842 \r\n",
       "L 282.715652 34.065327 \r\n",
       "L 283.02032 48.59041 \r\n",
       "L 283.324988 24.545411 \r\n",
       "L 283.629657 32.127927 \r\n",
       "L 283.934325 35.621439 \r\n",
       "L 284.238993 43.009137 \r\n",
       "L 284.543662 47.506589 \r\n",
       "L 284.84833 38.699232 \r\n",
       "L 285.152998 46.626192 \r\n",
       "L 285.457667 35.983136 \r\n",
       "L 285.762335 42.910058 \r\n",
       "L 286.067003 28.405986 \r\n",
       "L 286.371672 38.887028 \r\n",
       "L 286.67634 43.377448 \r\n",
       "L 286.981008 30.82118 \r\n",
       "L 287.285676 51.843443 \r\n",
       "L 287.590345 32.574582 \r\n",
       "L 287.895013 24.271125 \r\n",
       "L 288.199681 45.343192 \r\n",
       "L 288.50435 37.839409 \r\n",
       "L 288.809018 27.507963 \r\n",
       "L 289.113686 59.179623 \r\n",
       "L 289.418355 31.836545 \r\n",
       "L 289.723023 40.559593 \r\n",
       "L 290.027691 32.501179 \r\n",
       "L 290.332359 46.373499 \r\n",
       "L 290.637028 44.21372 \r\n",
       "L 290.941696 49.52076 \r\n",
       "L 291.246364 51.73308 \r\n",
       "L 291.551033 24.665237 \r\n",
       "L 291.855701 38.72995 \r\n",
       "L 292.160369 45.897503 \r\n",
       "L 292.465038 40.497524 \r\n",
       "L 292.769706 45.167006 \r\n",
       "L 293.074374 37.966358 \r\n",
       "L 293.379043 37.821746 \r\n",
       "L 293.683711 39.06946 \r\n",
       "L 293.988379 32.942353 \r\n",
       "L 294.293047 43.51838 \r\n",
       "L 294.597716 61.494989 \r\n",
       "L 294.902384 26.196067 \r\n",
       "L 295.207052 52.73932 \r\n",
       "L 295.511721 26.289316 \r\n",
       "L 295.816389 39.759971 \r\n",
       "L 296.121057 59.46443 \r\n",
       "L 296.425726 35.479452 \r\n",
       "L 296.730394 30.808758 \r\n",
       "L 297.33973 39.885186 \r\n",
       "L 297.644399 35.106988 \r\n",
       "L 297.949067 67.458944 \r\n",
       "L 298.253735 36.074011 \r\n",
       "L 298.558404 42.496483 \r\n",
       "L 298.863072 23.874904 \r\n",
       "L 299.16774 37.45023 \r\n",
       "L 299.472409 38.179644 \r\n",
       "L 299.777077 56.708588 \r\n",
       "L 300.386414 33.540165 \r\n",
       "L 300.691082 39.946168 \r\n",
       "L 300.99575 40.991016 \r\n",
       "L 301.300418 43.060384 \r\n",
       "L 301.605087 38.440177 \r\n",
       "L 301.909755 41.700267 \r\n",
       "L 302.214423 34.621569 \r\n",
       "L 302.519092 55.372659 \r\n",
       "L 302.82376 53.451452 \r\n",
       "L 303.128428 52.32757 \r\n",
       "L 303.433097 44.472165 \r\n",
       "L 303.737765 50.036026 \r\n",
       "L 304.347102 31.279309 \r\n",
       "L 304.65177 31.510771 \r\n",
       "L 304.956438 43.183687 \r\n",
       "L 305.261106 49.007167 \r\n",
       "L 305.565775 57.397388 \r\n",
       "L 305.870443 49.758806 \r\n",
       "L 306.175111 52.935435 \r\n",
       "L 306.47978 66.642099 \r\n",
       "L 306.784448 40.49664 \r\n",
       "L 307.089116 50.447935 \r\n",
       "L 307.393785 52.64206 \r\n",
       "L 307.698453 49.898218 \r\n",
       "L 308.003121 57.194409 \r\n",
       "L 308.307789 46.302924 \r\n",
       "L 308.612458 47.517634 \r\n",
       "L 308.917126 51.003717 \r\n",
       "L 309.221794 45.368855 \r\n",
       "L 309.526463 53.726222 \r\n",
       "L 309.831131 48.685953 \r\n",
       "L 310.135799 46.661151 \r\n",
       "L 310.440468 62.376101 \r\n",
       "L 311.049804 37.255766 \r\n",
       "L 311.354473 60.889809 \r\n",
       "L 311.659141 51.816208 \r\n",
       "L 311.963809 46.597198 \r\n",
       "L 312.877814 64.959044 \r\n",
       "L 313.182482 47.496786 \r\n",
       "L 313.487151 62.463672 \r\n",
       "L 313.791819 55.004115 \r\n",
       "L 314.096487 50.33509 \r\n",
       "L 314.401156 54.211298 \r\n",
       "L 314.705824 53.458075 \r\n",
       "L 315.010492 83.98382 \r\n",
       "L 315.31516 61.241709 \r\n",
       "L 315.619829 49.439725 \r\n",
       "L 315.924497 48.201071 \r\n",
       "L 316.229165 50.210626 \r\n",
       "L 316.533834 69.435691 \r\n",
       "L 316.838502 79.92233 \r\n",
       "L 317.14317 52.645604 \r\n",
       "L 317.447839 57.348527 \r\n",
       "L 317.752507 71.575063 \r\n",
       "L 318.057175 64.111425 \r\n",
       "L 318.361844 47.951987 \r\n",
       "L 318.666512 71.120465 \r\n",
       "L 318.97118 63.272702 \r\n",
       "L 319.275848 61.600996 \r\n",
       "L 319.580517 50.114754 \r\n",
       "L 319.885185 58.237144 \r\n",
       "L 320.189853 69.476473 \r\n",
       "L 320.494522 59.559026 \r\n",
       "L 320.79919 73.672851 \r\n",
       "L 321.103858 74.951569 \r\n",
       "L 321.408527 72.71138 \r\n",
       "L 321.713195 76.830633 \r\n",
       "L 322.017863 60.759223 \r\n",
       "L 322.322531 75.983861 \r\n",
       "L 322.6272 80.981081 \r\n",
       "L 322.931868 67.829485 \r\n",
       "L 323.236536 68.375298 \r\n",
       "L 323.541205 77.82083 \r\n",
       "L 323.845873 64.372365 \r\n",
       "L 324.150541 87.14556 \r\n",
       "L 324.759878 60.300326 \r\n",
       "L 325.064546 66.530956 \r\n",
       "L 325.369215 83.241195 \r\n",
       "L 325.673883 62.387929 \r\n",
       "L 325.978551 74.959541 \r\n",
       "L 326.283219 75.944655 \r\n",
       "L 326.587888 84.168034 \r\n",
       "L 326.892556 78.172329 \r\n",
       "L 327.197224 74.52895 \r\n",
       "L 327.501893 76.681417 \r\n",
       "L 327.806561 83.873809 \r\n",
       "L 328.111229 72.694946 \r\n",
       "L 328.415898 81.494153 \r\n",
       "L 328.720566 65.4664 \r\n",
       "L 329.025234 74.124226 \r\n",
       "L 329.329902 88.531713 \r\n",
       "L 329.939239 72.970026 \r\n",
       "L 330.243907 74.719077 \r\n",
       "L 330.548576 77.37569 \r\n",
       "L 330.853244 77.782367 \r\n",
       "L 331.157912 86.567685 \r\n",
       "L 331.462581 87.419041 \r\n",
       "L 331.767249 68.50368 \r\n",
       "L 332.071917 87.791432 \r\n",
       "L 332.376586 66.221879 \r\n",
       "L 332.681254 90.812093 \r\n",
       "L 332.985922 87.366982 \r\n",
       "L 333.29059 72.057607 \r\n",
       "L 333.899927 91.613801 \r\n",
       "L 334.204595 78.95462 \r\n",
       "L 334.509264 71.13147 \r\n",
       "L 334.813932 83.384232 \r\n",
       "L 335.1186 75.877885 \r\n",
       "L 335.423269 94.577551 \r\n",
       "L 335.727937 86.565567 \r\n",
       "L 336.337273 95.226871 \r\n",
       "L 336.641942 85.750147 \r\n",
       "L 336.94661 83.192273 \r\n",
       "L 337.251278 88.822012 \r\n",
       "L 337.555947 84.384463 \r\n",
       "L 337.860615 86.114072 \r\n",
       "L 338.165283 96.807329 \r\n",
       "L 338.469952 100.838127 \r\n",
       "L 338.77462 85.085729 \r\n",
       "L 339.079288 94.30328 \r\n",
       "L 339.383957 85.946131 \r\n",
       "L 339.688625 106.857434 \r\n",
       "L 339.993293 108.532481 \r\n",
       "L 340.297961 88.609236 \r\n",
       "L 340.60263 86.896884 \r\n",
       "L 340.907298 87.605205 \r\n",
       "L 341.211966 94.728312 \r\n",
       "L 341.516635 116.586894 \r\n",
       "L 341.821303 85.241594 \r\n",
       "L 342.43064 109.787701 \r\n",
       "L 342.735308 88.61669 \r\n",
       "L 343.039976 96.592542 \r\n",
       "L 343.649313 97.668935 \r\n",
       "L 343.953981 89.08626 \r\n",
       "L 344.258649 88.717049 \r\n",
       "L 344.563318 98.874497 \r\n",
       "L 344.867986 92.955382 \r\n",
       "L 345.172654 102.64408 \r\n",
       "L 345.477323 102.436546 \r\n",
       "L 345.781991 93.253706 \r\n",
       "L 346.086659 88.411995 \r\n",
       "L 346.391328 107.27081 \r\n",
       "L 346.695996 93.253831 \r\n",
       "L 347.000664 99.349557 \r\n",
       "L 347.305332 109.682973 \r\n",
       "L 347.610001 114.541159 \r\n",
       "L 347.914669 101.243226 \r\n",
       "L 348.219337 99.993558 \r\n",
       "L 348.524006 105.045283 \r\n",
       "L 348.524006 105.045283 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_13\">\r\n",
       "    <path clip-path=\"url(#p452e65fab8)\" d=\"M 45.379043 73.157446 \r\n",
       "L 45.683711 80.054374 \r\n",
       "L 45.988379 83.005988 \r\n",
       "L 46.293047 84.607033 \r\n",
       "L 46.597716 82.788135 \r\n",
       "L 47.207052 75.046209 \r\n",
       "L 47.511721 72.149967 \r\n",
       "L 47.816389 76.022816 \r\n",
       "L 48.121057 74.32454 \r\n",
       "L 48.425726 74.730765 \r\n",
       "L 48.730394 78.539331 \r\n",
       "L 49.035062 74.826397 \r\n",
       "L 49.33973 74.861835 \r\n",
       "L 49.644399 78.185407 \r\n",
       "L 49.949067 79.173971 \r\n",
       "L 50.253735 73.539729 \r\n",
       "L 50.558404 78.279089 \r\n",
       "L 50.863072 76.649899 \r\n",
       "L 51.16774 71.937068 \r\n",
       "L 51.472409 73.999025 \r\n",
       "L 51.777077 71.049138 \r\n",
       "L 52.081745 69.519739 \r\n",
       "L 52.386414 70.891667 \r\n",
       "L 52.691082 65.664839 \r\n",
       "L 53.300418 60.854513 \r\n",
       "L 53.605087 56.226316 \r\n",
       "L 54.214423 60.620084 \r\n",
       "L 54.519092 65.077092 \r\n",
       "L 55.128428 69.545688 \r\n",
       "L 55.433097 68.681513 \r\n",
       "L 56.042433 64.643117 \r\n",
       "L 56.347102 65.27225 \r\n",
       "L 56.65177 62.621719 \r\n",
       "L 56.956438 61.587263 \r\n",
       "L 57.261106 64.345762 \r\n",
       "L 57.870443 57.798733 \r\n",
       "L 58.175111 55.668057 \r\n",
       "L 58.47978 54.335654 \r\n",
       "L 58.784448 57.606566 \r\n",
       "L 59.089116 62.295041 \r\n",
       "L 59.393785 61.393315 \r\n",
       "L 59.698453 55.10327 \r\n",
       "L 60.003121 52.796595 \r\n",
       "L 60.307789 48.532996 \r\n",
       "L 60.612458 53.140183 \r\n",
       "L 60.917126 55.266807 \r\n",
       "L 61.221794 48.613654 \r\n",
       "L 61.526463 46.705733 \r\n",
       "L 61.831131 43.130467 \r\n",
       "L 62.135799 45.472161 \r\n",
       "L 62.440468 50.379825 \r\n",
       "L 62.745136 48.787797 \r\n",
       "L 63.354473 57.224437 \r\n",
       "L 63.659141 55.356098 \r\n",
       "L 63.963809 57.198871 \r\n",
       "L 64.268477 52.594025 \r\n",
       "L 64.573146 45.626181 \r\n",
       "L 64.877814 52.075012 \r\n",
       "L 65.182482 50.455536 \r\n",
       "L 65.487151 52.837488 \r\n",
       "L 65.791819 53.86659 \r\n",
       "L 66.096487 50.638687 \r\n",
       "L 66.401156 49.675879 \r\n",
       "L 67.010492 51.350141 \r\n",
       "L 67.31516 51.151647 \r\n",
       "L 67.924497 57.606415 \r\n",
       "L 68.229165 57.350492 \r\n",
       "L 68.838502 47.888864 \r\n",
       "L 69.14317 40.722384 \r\n",
       "L 69.447839 38.048278 \r\n",
       "L 69.752507 38.424868 \r\n",
       "L 70.057175 41.737556 \r\n",
       "L 70.361844 42.786771 \r\n",
       "L 70.666512 39.220577 \r\n",
       "L 70.97118 40.543089 \r\n",
       "L 71.275848 38.272687 \r\n",
       "L 71.580517 38.557283 \r\n",
       "L 71.885185 40.179642 \r\n",
       "L 72.189853 38.61115 \r\n",
       "L 72.494522 41.188863 \r\n",
       "L 72.79919 39.691068 \r\n",
       "L 73.103858 43.116141 \r\n",
       "L 73.408527 48.917334 \r\n",
       "L 73.713195 44.372183 \r\n",
       "L 74.017863 44.149862 \r\n",
       "L 74.322531 40.737688 \r\n",
       "L 74.6272 39.293352 \r\n",
       "L 75.236536 43.428921 \r\n",
       "L 75.541205 43.31195 \r\n",
       "L 75.845873 45.367706 \r\n",
       "L 76.150541 43.35664 \r\n",
       "L 77.064546 28.670821 \r\n",
       "L 77.369215 31.727204 \r\n",
       "L 77.673883 38.446757 \r\n",
       "L 77.978551 42.41962 \r\n",
       "L 78.283219 44.1384 \r\n",
       "L 78.587888 43.886397 \r\n",
       "L 78.892556 44.013439 \r\n",
       "L 79.197224 44.860611 \r\n",
       "L 80.415898 32.84422 \r\n",
       "L 80.720566 35.18809 \r\n",
       "L 81.025234 35.917318 \r\n",
       "L 81.329902 45.208192 \r\n",
       "L 81.634571 43.848346 \r\n",
       "L 81.939239 38.195409 \r\n",
       "L 82.243907 38.675277 \r\n",
       "L 82.548576 34.422562 \r\n",
       "L 82.853244 34.681921 \r\n",
       "L 83.157912 40.291024 \r\n",
       "L 83.767249 32.112939 \r\n",
       "L 84.071917 33.419947 \r\n",
       "L 84.376586 30.027013 \r\n",
       "L 84.681254 31.095281 \r\n",
       "L 84.985922 31.600346 \r\n",
       "L 85.29059 28.74087 \r\n",
       "L 86.509264 44.596637 \r\n",
       "L 86.813932 45.765907 \r\n",
       "L 87.1186 42.788733 \r\n",
       "L 87.423269 43.993826 \r\n",
       "L 87.727937 42.626802 \r\n",
       "L 88.032605 35.644628 \r\n",
       "L 88.337273 37.276471 \r\n",
       "L 88.641942 37.538028 \r\n",
       "L 88.94661 37.419 \r\n",
       "L 89.251278 35.698952 \r\n",
       "L 89.860615 33.496276 \r\n",
       "L 90.165283 34.037289 \r\n",
       "L 90.469952 33.352176 \r\n",
       "L 90.77462 34.461773 \r\n",
       "L 91.079288 32.619916 \r\n",
       "L 91.383957 32.425854 \r\n",
       "L 91.688625 35.606335 \r\n",
       "L 91.993293 33.850229 \r\n",
       "L 92.297961 34.165764 \r\n",
       "L 92.907298 29.512547 \r\n",
       "L 93.211966 35.542645 \r\n",
       "L 93.516635 34.858792 \r\n",
       "L 93.821303 35.015224 \r\n",
       "L 94.125971 36.494977 \r\n",
       "L 94.43064 28.261389 \r\n",
       "L 94.735308 35.949281 \r\n",
       "L 95.039976 36.636281 \r\n",
       "L 95.344645 37.950732 \r\n",
       "L 95.649313 41.80039 \r\n",
       "L 95.953981 39.777509 \r\n",
       "L 96.258649 42.909995 \r\n",
       "L 96.563318 42.847532 \r\n",
       "L 96.867986 43.380263 \r\n",
       "L 97.172654 41.434833 \r\n",
       "L 98.086659 29.78752 \r\n",
       "L 98.391328 34.083728 \r\n",
       "L 98.695996 31.890714 \r\n",
       "L 99.000664 32.685926 \r\n",
       "L 99.305332 33.876199 \r\n",
       "L 99.610001 32.517116 \r\n",
       "L 99.914669 37.742927 \r\n",
       "L 100.219337 36.022583 \r\n",
       "L 100.524006 38.725762 \r\n",
       "L 100.828674 36.667466 \r\n",
       "L 101.133342 37.097442 \r\n",
       "L 101.742679 27.676969 \r\n",
       "L 102.352016 23.240637 \r\n",
       "L 102.656684 24.883633 \r\n",
       "L 102.961352 24.920109 \r\n",
       "L 103.26602 29.143887 \r\n",
       "L 103.570689 29.286255 \r\n",
       "L 103.875357 28.540765 \r\n",
       "L 104.180025 29.331233 \r\n",
       "L 104.484694 25.821414 \r\n",
       "L 104.789362 30.707086 \r\n",
       "L 105.398699 33.637163 \r\n",
       "L 105.703367 36.007972 \r\n",
       "L 106.008035 36.912982 \r\n",
       "L 106.312703 41.412416 \r\n",
       "L 106.617372 44.220554 \r\n",
       "L 107.226708 34.202038 \r\n",
       "L 107.531377 32.982317 \r\n",
       "L 108.140713 39.664137 \r\n",
       "L 108.445382 47.884291 \r\n",
       "L 108.75005 46.650561 \r\n",
       "L 109.054718 48.208871 \r\n",
       "L 109.359387 48.134474 \r\n",
       "L 109.664055 40.25379 \r\n",
       "L 109.968723 42.440199 \r\n",
       "L 110.273391 38.606568 \r\n",
       "L 110.57806 39.95306 \r\n",
       "L 110.882728 43.958465 \r\n",
       "L 111.187396 38.769635 \r\n",
       "L 111.492065 42.502331 \r\n",
       "L 111.796733 44.500095 \r\n",
       "L 112.101401 41.733623 \r\n",
       "L 112.40607 46.02311 \r\n",
       "L 112.710738 45.342002 \r\n",
       "L 113.015406 40.827881 \r\n",
       "L 113.624743 46.637154 \r\n",
       "L 113.929411 44.795458 \r\n",
       "L 114.234079 44.199292 \r\n",
       "L 114.538748 44.056231 \r\n",
       "L 114.843416 41.582142 \r\n",
       "L 115.148084 43.763298 \r\n",
       "L 115.452753 49.961308 \r\n",
       "L 115.757421 52.567805 \r\n",
       "L 116.062089 51.137492 \r\n",
       "L 116.976094 39.613394 \r\n",
       "L 117.280762 39.68895 \r\n",
       "L 117.890099 44.729223 \r\n",
       "L 118.499436 47.681892 \r\n",
       "L 118.804104 51.209407 \r\n",
       "L 119.108772 49.577091 \r\n",
       "L 119.413441 47.244681 \r\n",
       "L 119.718109 47.355982 \r\n",
       "L 120.022777 46.048078 \r\n",
       "L 120.632114 58.423125 \r\n",
       "L 120.936782 55.510051 \r\n",
       "L 121.24145 55.256055 \r\n",
       "L 121.546119 55.433097 \r\n",
       "L 121.850787 52.306614 \r\n",
       "L 122.155455 54.352002 \r\n",
       "L 123.06946 55.297347 \r\n",
       "L 123.374129 56.462935 \r\n",
       "L 123.983465 55.62408 \r\n",
       "L 124.288133 55.86442 \r\n",
       "L 124.592802 52.632135 \r\n",
       "L 124.89747 56.083037 \r\n",
       "L 125.202138 57.026063 \r\n",
       "L 125.506807 58.543965 \r\n",
       "L 125.811475 61.082553 \r\n",
       "L 126.116143 58.204596 \r\n",
       "L 126.420812 61.741427 \r\n",
       "L 126.72548 60.090642 \r\n",
       "L 127.030148 61.746223 \r\n",
       "L 127.334816 60.381679 \r\n",
       "L 128.248821 52.128483 \r\n",
       "L 128.55349 55.947327 \r\n",
       "L 128.858158 54.446064 \r\n",
       "L 129.162826 61.39082 \r\n",
       "L 129.467495 61.16534 \r\n",
       "L 129.772163 62.855803 \r\n",
       "L 130.076831 67.732957 \r\n",
       "L 130.3815 66.754116 \r\n",
       "L 130.686168 73.913489 \r\n",
       "L 130.990836 70.104796 \r\n",
       "L 131.295504 71.780851 \r\n",
       "L 131.600173 72.628571 \r\n",
       "L 131.904841 71.827729 \r\n",
       "L 132.209509 74.184773 \r\n",
       "L 132.514178 75.577607 \r\n",
       "L 132.818846 73.412901 \r\n",
       "L 133.123514 72.721114 \r\n",
       "L 133.428183 73.733987 \r\n",
       "L 133.732851 71.474164 \r\n",
       "L 134.037519 73.073669 \r\n",
       "L 134.342187 73.734841 \r\n",
       "L 134.646856 74.054962 \r\n",
       "L 134.951524 73.497558 \r\n",
       "L 135.560861 84.594228 \r\n",
       "L 135.865529 82.332819 \r\n",
       "L 136.170197 82.913737 \r\n",
       "L 136.474866 77.294934 \r\n",
       "L 136.779534 74.809659 \r\n",
       "L 137.084202 77.76806 \r\n",
       "L 137.388871 79.294955 \r\n",
       "L 137.693539 81.627483 \r\n",
       "L 137.998207 77.98624 \r\n",
       "L 138.302875 76.720202 \r\n",
       "L 138.607544 73.816324 \r\n",
       "L 138.912212 78.801776 \r\n",
       "L 139.21688 77.41817 \r\n",
       "L 139.521549 78.754297 \r\n",
       "L 140.130885 85.244469 \r\n",
       "L 140.435554 86.856955 \r\n",
       "L 140.740222 87.769186 \r\n",
       "L 141.04489 86.727161 \r\n",
       "L 141.349559 80.999221 \r\n",
       "L 141.654227 82.515043 \r\n",
       "L 141.958895 82.741602 \r\n",
       "L 142.263563 78.040408 \r\n",
       "L 142.568232 82.91909 \r\n",
       "L 143.177568 83.27695 \r\n",
       "L 143.482237 80.723638 \r\n",
       "L 143.786905 81.14771 \r\n",
       "L 144.091573 79.190867 \r\n",
       "L 144.396242 84.164483 \r\n",
       "L 144.70091 83.866315 \r\n",
       "L 145.005578 77.784914 \r\n",
       "L 145.310246 79.224901 \r\n",
       "L 145.614915 77.157286 \r\n",
       "L 145.919583 80.527943 \r\n",
       "L 146.224251 81.746148 \r\n",
       "L 146.52892 81.55533 \r\n",
       "L 147.138256 74.469874 \r\n",
       "L 147.747593 86.376854 \r\n",
       "L 148.052261 92.816816 \r\n",
       "L 148.35693 93.879066 \r\n",
       "L 149.270934 87.715744 \r\n",
       "L 149.575603 86.722793 \r\n",
       "L 150.184939 90.366758 \r\n",
       "L 150.489608 90.456494 \r\n",
       "L 150.794276 88.141771 \r\n",
       "L 151.098944 92.174135 \r\n",
       "L 151.403613 93.397267 \r\n",
       "L 151.708281 92.822553 \r\n",
       "L 152.012949 97.08422 \r\n",
       "L 152.317617 98.558837 \r\n",
       "L 152.622286 95.507014 \r\n",
       "L 153.231622 100.074444 \r\n",
       "L 153.536291 95.748266 \r\n",
       "L 154.145627 104.719534 \r\n",
       "L 154.450296 101.157042 \r\n",
       "L 154.754964 104.380434 \r\n",
       "L 155.059632 105.77742 \r\n",
       "L 155.364301 105.335247 \r\n",
       "L 155.668969 108.39984 \r\n",
       "L 155.973637 106.073987 \r\n",
       "L 156.278305 106.988222 \r\n",
       "L 156.582974 101.738709 \r\n",
       "L 156.887642 99.80666 \r\n",
       "L 157.19231 100.192258 \r\n",
       "L 157.496979 98.101532 \r\n",
       "L 157.801647 101.551712 \r\n",
       "L 158.106315 112.085539 \r\n",
       "L 158.410984 111.739298 \r\n",
       "L 158.715652 116.2029 \r\n",
       "L 159.02032 115.26581 \r\n",
       "L 159.324988 109.440412 \r\n",
       "L 159.934325 107.445621 \r\n",
       "L 160.238993 106.977436 \r\n",
       "L 160.84833 103.598776 \r\n",
       "L 161.152998 105.029294 \r\n",
       "L 161.457667 105.004863 \r\n",
       "L 161.762335 108.680814 \r\n",
       "L 162.067003 110.777395 \r\n",
       "L 162.67634 111.753812 \r\n",
       "L 162.981008 111.252517 \r\n",
       "L 163.285676 111.666583 \r\n",
       "L 163.590345 109.533342 \r\n",
       "L 163.895013 108.639779 \r\n",
       "L 164.199681 111.386141 \r\n",
       "L 164.50435 108.071915 \r\n",
       "L 165.113686 111.92539 \r\n",
       "L 165.418355 112.193088 \r\n",
       "L 165.723023 119.393709 \r\n",
       "L 166.027691 117.806106 \r\n",
       "L 166.332359 118.988689 \r\n",
       "L 166.941696 110.917813 \r\n",
       "L 167.246364 113.76412 \r\n",
       "L 167.551033 111.010585 \r\n",
       "L 167.855701 112.705017 \r\n",
       "L 168.465038 116.925322 \r\n",
       "L 168.769706 121.389983 \r\n",
       "L 169.683711 116.429676 \r\n",
       "L 169.988379 109.631249 \r\n",
       "L 170.293047 115.162406 \r\n",
       "L 170.902384 117.219871 \r\n",
       "L 171.207052 123.294413 \r\n",
       "L 171.511721 119.586381 \r\n",
       "L 171.816389 121.691004 \r\n",
       "L 172.121057 121.146282 \r\n",
       "L 172.425726 116.735386 \r\n",
       "L 172.730394 116.205028 \r\n",
       "L 173.035062 115.251748 \r\n",
       "L 173.33973 114.858958 \r\n",
       "L 173.644399 118.458257 \r\n",
       "L 173.949067 120.248693 \r\n",
       "L 174.253735 120.905924 \r\n",
       "L 174.558404 122.672027 \r\n",
       "L 175.16774 120.93018 \r\n",
       "L 175.472409 116.934414 \r\n",
       "L 175.777077 120.004523 \r\n",
       "L 176.081745 120.69908 \r\n",
       "L 176.386414 126.153457 \r\n",
       "L 176.691082 128.703154 \r\n",
       "L 176.99575 121.653033 \r\n",
       "L 177.300418 121.534547 \r\n",
       "L 177.605087 117.405566 \r\n",
       "L 177.909755 111.73246 \r\n",
       "L 178.214423 118.454538 \r\n",
       "L 178.519092 118.659647 \r\n",
       "L 178.82376 121.139104 \r\n",
       "L 179.128428 127.198315 \r\n",
       "L 179.737765 119.182129 \r\n",
       "L 180.042433 120.801103 \r\n",
       "L 180.347102 118.380979 \r\n",
       "L 180.956438 125.194625 \r\n",
       "L 181.565775 125.999399 \r\n",
       "L 181.870443 121.346081 \r\n",
       "L 182.175111 124.439964 \r\n",
       "L 182.47978 121.207239 \r\n",
       "L 182.784448 124.022783 \r\n",
       "L 183.089116 125.291889 \r\n",
       "L 183.393785 119.193219 \r\n",
       "L 183.698453 123.956307 \r\n",
       "L 184.003121 120.051597 \r\n",
       "L 184.307789 119.793312 \r\n",
       "L 184.612458 118.998319 \r\n",
       "L 185.221794 118.697046 \r\n",
       "L 185.526463 118.70905 \r\n",
       "L 186.135799 122.086015 \r\n",
       "L 186.440468 119.60103 \r\n",
       "L 186.745136 120.580744 \r\n",
       "L 187.049804 127.244192 \r\n",
       "L 187.659141 125.03104 \r\n",
       "L 187.963809 126.557794 \r\n",
       "L 188.268477 121.050285 \r\n",
       "L 188.573146 120.407297 \r\n",
       "L 188.877814 124.292928 \r\n",
       "L 189.182482 124.636355 \r\n",
       "L 189.487151 127.273615 \r\n",
       "L 190.401156 120.547489 \r\n",
       "L 190.705824 118.303019 \r\n",
       "L 191.010492 120.375098 \r\n",
       "L 191.31516 120.641443 \r\n",
       "L 191.619829 119.088734 \r\n",
       "L 191.924497 123.955644 \r\n",
       "L 192.229165 124.915651 \r\n",
       "L 192.533834 123.366325 \r\n",
       "L 192.838502 120.343059 \r\n",
       "L 193.14317 121.309232 \r\n",
       "L 193.447839 119.365033 \r\n",
       "L 193.752507 119.316532 \r\n",
       "L 194.057175 126.28923 \r\n",
       "L 194.361844 125.920716 \r\n",
       "L 194.666512 122.003799 \r\n",
       "L 194.97118 125.537445 \r\n",
       "L 195.275848 119.848073 \r\n",
       "L 195.580517 117.844672 \r\n",
       "L 196.189853 122.113195 \r\n",
       "L 196.494522 123.35192 \r\n",
       "L 196.79919 125.20111 \r\n",
       "L 197.103858 121.367326 \r\n",
       "L 197.408527 127.340287 \r\n",
       "L 197.713195 126.356202 \r\n",
       "L 198.017863 120.671685 \r\n",
       "L 198.322531 121.479706 \r\n",
       "L 198.6272 115.012469 \r\n",
       "L 198.931868 115.503894 \r\n",
       "L 199.236536 115.320716 \r\n",
       "L 199.541205 117.503561 \r\n",
       "L 199.845873 121.25173 \r\n",
       "L 200.150541 116.70088 \r\n",
       "L 200.45521 114.682017 \r\n",
       "L 200.759878 118.691395 \r\n",
       "L 201.064546 119.036195 \r\n",
       "L 201.369215 119.61617 \r\n",
       "L 201.673883 122.500062 \r\n",
       "L 201.978551 118.849822 \r\n",
       "L 202.587888 118.674251 \r\n",
       "L 202.892556 120.528011 \r\n",
       "L 203.197224 119.961031 \r\n",
       "L 203.501893 120.816572 \r\n",
       "L 203.806561 118.936388 \r\n",
       "L 204.111229 118.199187 \r\n",
       "L 204.415898 118.864145 \r\n",
       "L 205.025234 117.274562 \r\n",
       "L 205.329902 118.864358 \r\n",
       "L 205.634571 119.596269 \r\n",
       "L 205.939239 118.886631 \r\n",
       "L 206.243907 119.504357 \r\n",
       "L 206.548576 118.17736 \r\n",
       "L 207.157912 114.671541 \r\n",
       "L 207.462581 113.756945 \r\n",
       "L 208.071917 110.049349 \r\n",
       "L 208.376586 111.258731 \r\n",
       "L 208.681254 110.838834 \r\n",
       "L 208.985922 114.084496 \r\n",
       "L 209.29059 113.329604 \r\n",
       "L 209.595259 117.457072 \r\n",
       "L 209.899927 117.161388 \r\n",
       "L 210.204595 119.330157 \r\n",
       "L 210.509264 119.284052 \r\n",
       "L 210.813932 112.963899 \r\n",
       "L 211.423269 108.821704 \r\n",
       "L 211.727937 112.536122 \r\n",
       "L 212.032605 113.760077 \r\n",
       "L 212.337273 113.986062 \r\n",
       "L 212.641942 114.986996 \r\n",
       "L 212.94661 112.848793 \r\n",
       "L 213.251278 115.531191 \r\n",
       "L 213.860615 110.193115 \r\n",
       "L 214.165283 107.843475 \r\n",
       "L 214.469952 102.859876 \r\n",
       "L 214.77462 100.671825 \r\n",
       "L 215.079288 105.079709 \r\n",
       "L 215.383957 101.937685 \r\n",
       "L 215.688625 109.364241 \r\n",
       "L 215.993293 110.9189 \r\n",
       "L 216.297961 108.497514 \r\n",
       "L 216.60263 109.940746 \r\n",
       "L 216.907298 108.786032 \r\n",
       "L 217.211966 110.281578 \r\n",
       "L 217.516635 110.74492 \r\n",
       "L 217.821303 103.794121 \r\n",
       "L 218.125971 99.828888 \r\n",
       "L 218.43064 98.838288 \r\n",
       "L 218.735308 100.93321 \r\n",
       "L 219.344645 107.897845 \r\n",
       "L 219.953981 94.015407 \r\n",
       "L 220.563318 87.098447 \r\n",
       "L 220.867986 97.476717 \r\n",
       "L 221.477323 103.937335 \r\n",
       "L 221.781991 110.918716 \r\n",
       "L 222.086659 106.8358 \r\n",
       "L 222.391328 107.033697 \r\n",
       "L 223.305332 93.307012 \r\n",
       "L 223.610001 100.017371 \r\n",
       "L 223.914669 97.323362 \r\n",
       "L 224.219337 98.254212 \r\n",
       "L 224.524006 96.765777 \r\n",
       "L 224.828674 91.005424 \r\n",
       "L 225.133342 93.230948 \r\n",
       "L 225.438011 89.937491 \r\n",
       "L 225.742679 89.08697 \r\n",
       "L 226.047347 93.12681 \r\n",
       "L 226.352016 94.380412 \r\n",
       "L 226.656684 98.092082 \r\n",
       "L 226.961352 99.144704 \r\n",
       "L 227.26602 94.534633 \r\n",
       "L 227.570689 97.176754 \r\n",
       "L 228.180025 91.154288 \r\n",
       "L 228.484694 93.946747 \r\n",
       "L 229.09403 89.354312 \r\n",
       "L 229.398699 90.650384 \r\n",
       "L 229.703367 89.212683 \r\n",
       "L 230.008035 84.566424 \r\n",
       "L 230.312703 85.261142 \r\n",
       "L 230.617372 87.322789 \r\n",
       "L 230.92204 87.444729 \r\n",
       "L 231.226708 94.033467 \r\n",
       "L 231.531377 94.881431 \r\n",
       "L 231.836045 94.64756 \r\n",
       "L 232.140713 89.440331 \r\n",
       "L 232.445382 88.428215 \r\n",
       "L 232.75005 90.324853 \r\n",
       "L 233.054718 90.004056 \r\n",
       "L 233.359387 91.590771 \r\n",
       "L 233.664055 89.724564 \r\n",
       "L 233.968723 83.820896 \r\n",
       "L 234.273391 81.607449 \r\n",
       "L 234.57806 83.849385 \r\n",
       "L 234.882728 78.855156 \r\n",
       "L 235.187396 82.567493 \r\n",
       "L 235.492065 83.70044 \r\n",
       "L 235.796733 78.519107 \r\n",
       "L 236.40607 92.540661 \r\n",
       "L 236.710738 89.644818 \r\n",
       "L 237.015406 89.786357 \r\n",
       "L 237.320074 83.22159 \r\n",
       "L 237.929411 76.78484 \r\n",
       "L 238.234079 77.262518 \r\n",
       "L 238.538748 73.887018 \r\n",
       "L 238.843416 77.21999 \r\n",
       "L 239.148084 70.227944 \r\n",
       "L 239.757421 76.049966 \r\n",
       "L 240.062089 74.324953 \r\n",
       "L 240.671426 81.277504 \r\n",
       "L 240.976094 78.79409 \r\n",
       "L 241.280762 74.006064 \r\n",
       "L 241.585431 75.828007 \r\n",
       "L 241.890099 69.930142 \r\n",
       "L 242.499436 66.094309 \r\n",
       "L 242.804104 63.219831 \r\n",
       "L 243.108772 66.863773 \r\n",
       "L 243.413441 63.842866 \r\n",
       "L 243.718109 65.386365 \r\n",
       "L 244.327445 58.058531 \r\n",
       "L 244.632114 64.074258 \r\n",
       "L 244.936782 67.03388 \r\n",
       "L 245.24145 66.401754 \r\n",
       "L 245.546119 67.231737 \r\n",
       "L 245.850787 64.513195 \r\n",
       "L 246.460124 62.937469 \r\n",
       "L 246.764792 60.599826 \r\n",
       "L 247.06946 62.903725 \r\n",
       "L 247.374129 61.461479 \r\n",
       "L 247.678797 65.032247 \r\n",
       "L 247.983465 66.209667 \r\n",
       "L 248.288133 62.441201 \r\n",
       "L 248.592802 65.9814 \r\n",
       "L 248.89747 66.953665 \r\n",
       "L 249.202138 64.802286 \r\n",
       "L 249.506807 63.907663 \r\n",
       "L 250.116143 54.709082 \r\n",
       "L 250.420812 53.610424 \r\n",
       "L 250.72548 54.371535 \r\n",
       "L 251.030148 54.067645 \r\n",
       "L 251.334816 54.291918 \r\n",
       "L 251.639485 57.683377 \r\n",
       "L 251.944153 56.678854 \r\n",
       "L 252.55349 61.545862 \r\n",
       "L 252.858158 62.38045 \r\n",
       "L 253.162826 62.489859 \r\n",
       "L 253.467495 66.664935 \r\n",
       "L 253.772163 65.688806 \r\n",
       "L 254.076831 59.985534 \r\n",
       "L 254.3815 59.848816 \r\n",
       "L 254.686168 54.783403 \r\n",
       "L 254.990836 54.799475 \r\n",
       "L 255.295504 58.833425 \r\n",
       "L 255.600173 57.109334 \r\n",
       "L 255.904841 57.990241 \r\n",
       "L 256.209509 54.989426 \r\n",
       "L 256.514178 54.420571 \r\n",
       "L 256.818846 58.272475 \r\n",
       "L 257.123514 56.77405 \r\n",
       "L 257.428183 53.92496 \r\n",
       "L 257.732851 53.738763 \r\n",
       "L 258.037519 52.096861 \r\n",
       "L 258.342187 52.480945 \r\n",
       "L 258.646856 54.364121 \r\n",
       "L 258.951524 59.404594 \r\n",
       "L 259.256192 59.925177 \r\n",
       "L 259.865529 58.380375 \r\n",
       "L 260.170197 52.88415 \r\n",
       "L 260.474866 51.38484 \r\n",
       "L 260.779534 52.340354 \r\n",
       "L 261.084202 46.606988 \r\n",
       "L 261.388871 43.03796 \r\n",
       "L 261.693539 41.081678 \r\n",
       "L 261.998207 38.089733 \r\n",
       "L 263.21688 47.885024 \r\n",
       "L 263.521549 52.36143 \r\n",
       "L 264.130885 46.735402 \r\n",
       "L 264.435554 45.957959 \r\n",
       "L 264.740222 43.712352 \r\n",
       "L 265.349559 40.660918 \r\n",
       "L 265.654227 36.984366 \r\n",
       "L 265.958895 35.453738 \r\n",
       "L 266.263563 37.087263 \r\n",
       "L 266.568232 34.69467 \r\n",
       "L 267.786905 50.573395 \r\n",
       "L 268.091573 46.712494 \r\n",
       "L 268.396242 40.356245 \r\n",
       "L 268.70091 37.103184 \r\n",
       "L 269.005578 35.42957 \r\n",
       "L 269.310246 41.160647 \r\n",
       "L 269.614915 41.521175 \r\n",
       "L 269.919583 41.322769 \r\n",
       "L 270.224251 39.214764 \r\n",
       "L 270.52892 33.95708 \r\n",
       "L 270.833588 34.957211 \r\n",
       "L 271.138256 35.421142 \r\n",
       "L 271.442925 35.213131 \r\n",
       "L 271.747593 32.125643 \r\n",
       "L 272.052261 31.931415 \r\n",
       "L 272.35693 34.737886 \r\n",
       "L 272.661598 34.483156 \r\n",
       "L 273.270934 41.71467 \r\n",
       "L 273.575603 38.583127 \r\n",
       "L 273.880271 37.723854 \r\n",
       "L 274.184939 37.336673 \r\n",
       "L 275.403613 48.42686 \r\n",
       "L 275.708281 44.232144 \r\n",
       "L 276.012949 38.345522 \r\n",
       "L 276.317617 35.667355 \r\n",
       "L 276.622286 28.906262 \r\n",
       "L 276.926954 28.151702 \r\n",
       "L 277.231622 29.296505 \r\n",
       "L 277.536291 31.49492 \r\n",
       "L 277.840959 35.165679 \r\n",
       "L 278.145627 35.091287 \r\n",
       "L 278.754964 38.188413 \r\n",
       "L 279.059632 35.789335 \r\n",
       "L 279.364301 35.020726 \r\n",
       "L 279.668969 33.917287 \r\n",
       "L 279.973637 30.166615 \r\n",
       "L 280.278305 34.649938 \r\n",
       "L 280.582974 33.97273 \r\n",
       "L 280.887642 34.622256 \r\n",
       "L 281.19231 34.928731 \r\n",
       "L 281.496979 32.669673 \r\n",
       "L 282.410984 38.82742 \r\n",
       "L 282.715652 36.602004 \r\n",
       "L 283.02032 31.57042 \r\n",
       "L 283.324988 34.52055 \r\n",
       "L 283.629657 29.609671 \r\n",
       "L 283.934325 30.179369 \r\n",
       "L 284.238993 30.268678 \r\n",
       "L 284.543662 27.96301 \r\n",
       "L 284.84833 34.394068 \r\n",
       "L 285.457667 39.825029 \r\n",
       "L 286.067003 36.653784 \r\n",
       "L 286.67634 31.676599 \r\n",
       "L 286.981008 33.379878 \r\n",
       "L 287.285676 30.557736 \r\n",
       "L 287.590345 36.319276 \r\n",
       "L 287.895013 35.426001 \r\n",
       "L 288.199681 30.645102 \r\n",
       "L 288.50435 33.66227 \r\n",
       "L 288.809018 29.579685 \r\n",
       "L 289.113686 28.938466 \r\n",
       "L 289.418355 37.342174 \r\n",
       "L 289.723023 34.657186 \r\n",
       "L 290.027691 35.347684 \r\n",
       "L 290.332359 37.182409 \r\n",
       "L 290.637028 32.577257 \r\n",
       "L 291.551033 44.053581 \r\n",
       "L 291.855701 39.454796 \r\n",
       "L 292.769706 32.294428 \r\n",
       "L 293.074374 38.226519 \r\n",
       "L 293.379043 38.438802 \r\n",
       "L 293.683711 36.15676 \r\n",
       "L 293.988379 35.647122 \r\n",
       "L 294.293047 32.390583 \r\n",
       "L 294.597716 33.407268 \r\n",
       "L 294.902384 39.008741 \r\n",
       "L 295.207052 37.350396 \r\n",
       "L 295.511721 42.052601 \r\n",
       "L 295.816389 38.096775 \r\n",
       "L 296.121057 31.280494 \r\n",
       "L 296.425726 39.612958 \r\n",
       "L 296.730394 35.761839 \r\n",
       "L 297.035062 37.927573 \r\n",
       "L 297.33973 36.517996 \r\n",
       "L 297.644399 30.329593 \r\n",
       "L 297.949067 30.488424 \r\n",
       "L 298.253735 39.23954 \r\n",
       "L 298.558404 40.843069 \r\n",
       "L 298.863072 41.751158 \r\n",
       "L 299.16774 39.352359 \r\n",
       "L 299.472409 29.979901 \r\n",
       "L 299.777077 30.309535 \r\n",
       "L 300.081745 33.194368 \r\n",
       "L 300.386414 39.989548 \r\n",
       "L 300.691082 39.855893 \r\n",
       "L 300.99575 40.152345 \r\n",
       "L 301.300418 35.233234 \r\n",
       "L 301.605087 34.53746 \r\n",
       "L 301.909755 36.31014 \r\n",
       "L 302.214423 36.689581 \r\n",
       "L 302.519092 35.231843 \r\n",
       "L 302.82376 37.552705 \r\n",
       "L 303.433097 45.09999 \r\n",
       "L 303.737765 48.670639 \r\n",
       "L 304.042433 46.814426 \r\n",
       "L 304.347102 43.35344 \r\n",
       "L 304.956438 34.105607 \r\n",
       "L 305.261106 31.188911 \r\n",
       "L 305.565775 33.296205 \r\n",
       "L 306.175111 46.293847 \r\n",
       "L 306.47978 49.141452 \r\n",
       "L 306.784448 53.390332 \r\n",
       "L 307.089116 49.94148 \r\n",
       "L 307.393785 49.928999 \r\n",
       "L 307.698453 49.455586 \r\n",
       "L 308.003121 44.612315 \r\n",
       "L 308.307789 49.157882 \r\n",
       "L 308.612458 48.566488 \r\n",
       "L 308.917126 47.144829 \r\n",
       "L 309.221794 47.210886 \r\n",
       "L 309.526463 43.991166 \r\n",
       "L 309.831131 45.721892 \r\n",
       "L 310.135799 46.282636 \r\n",
       "L 310.440468 45.214855 \r\n",
       "L 310.745136 49.228948 \r\n",
       "L 311.049804 49.072283 \r\n",
       "L 311.354473 46.884481 \r\n",
       "L 311.659141 49.736699 \r\n",
       "L 311.963809 46.763089 \r\n",
       "L 312.268477 45.78434 \r\n",
       "L 312.573146 50.034254 \r\n",
       "L 312.877814 48.314123 \r\n",
       "L 313.182482 51.563159 \r\n",
       "L 313.487151 52.943617 \r\n",
       "L 313.791819 55.220052 \r\n",
       "L 314.096487 54.997701 \r\n",
       "L 314.401156 51.08767 \r\n",
       "L 314.705824 52.929412 \r\n",
       "L 315.010492 50.199646 \r\n",
       "L 315.619829 61.033627 \r\n",
       "L 315.924497 60.886164 \r\n",
       "L 316.229165 59.368069 \r\n",
       "L 316.533834 49.382276 \r\n",
       "L 316.838502 50.396499 \r\n",
       "L 317.14317 58.569358 \r\n",
       "L 317.752507 63.851974 \r\n",
       "L 318.057175 62.643195 \r\n",
       "L 318.361844 58.895883 \r\n",
       "L 318.666512 58.804059 \r\n",
       "L 318.97118 61.584881 \r\n",
       "L 319.275848 59.212853 \r\n",
       "L 319.580517 58.708532 \r\n",
       "L 319.885185 60.127558 \r\n",
       "L 320.189853 56.006109 \r\n",
       "L 320.494522 56.897975 \r\n",
       "L 320.79919 56.774201 \r\n",
       "L 321.408527 67.685575 \r\n",
       "L 321.713195 68.780477 \r\n",
       "L 322.017863 73.723687 \r\n",
       "L 322.322531 70.462507 \r\n",
       "L 322.6272 70.447001 \r\n",
       "L 322.931868 71.59887 \r\n",
       "L 323.236536 70.417802 \r\n",
       "L 323.541205 72.907412 \r\n",
       "L 323.845873 72.317028 \r\n",
       "L 324.150541 68.590815 \r\n",
       "L 324.45521 74.761678 \r\n",
       "L 324.759878 75.218805 \r\n",
       "L 325.064546 71.475201 \r\n",
       "L 325.369215 71.760303 \r\n",
       "L 325.978551 66.840813 \r\n",
       "L 326.283219 71.770395 \r\n",
       "L 326.587888 72.565768 \r\n",
       "L 326.892556 74.723505 \r\n",
       "L 327.197224 78.151777 \r\n",
       "L 327.501893 78.492962 \r\n",
       "L 327.806561 78.107927 \r\n",
       "L 328.111229 77.43085 \r\n",
       "L 328.415898 76.470989 \r\n",
       "L 328.720566 79.359656 \r\n",
       "L 329.025234 74.430685 \r\n",
       "L 329.329902 73.00584 \r\n",
       "L 330.243907 80.39747 \r\n",
       "L 330.548576 78.652447 \r\n",
       "L 330.853244 75.671668 \r\n",
       "L 331.157912 74.969299 \r\n",
       "L 331.767249 82.899209 \r\n",
       "L 332.071917 79.975984 \r\n",
       "L 332.376586 82.946188 \r\n",
       "L 332.681254 75.381028 \r\n",
       "L 333.29059 84.470113 \r\n",
       "L 333.595259 81.862247 \r\n",
       "L 333.899927 83.591144 \r\n",
       "L 334.204595 83.677214 \r\n",
       "L 334.509264 81.870308 \r\n",
       "L 334.813932 82.3676 \r\n",
       "L 335.1186 82.020721 \r\n",
       "L 335.423269 76.886407 \r\n",
       "L 336.641942 92.127036 \r\n",
       "L 336.94661 89.563129 \r\n",
       "L 337.555947 87.774808 \r\n",
       "L 337.860615 85.425065 \r\n",
       "L 338.165283 85.659433 \r\n",
       "L 338.77462 93.47127 \r\n",
       "L 339.079288 91.673967 \r\n",
       "L 339.383957 94.472898 \r\n",
       "L 339.688625 90.092642 \r\n",
       "L 340.297961 100.013446 \r\n",
       "L 340.60263 96.752529 \r\n",
       "L 340.907298 96.957966 \r\n",
       "L 341.211966 91.307033 \r\n",
       "L 341.516635 90.055762 \r\n",
       "L 341.821303 98.966661 \r\n",
       "L 342.125971 95.098141 \r\n",
       "L 342.735308 100.894097 \r\n",
       "L 343.039976 95.029161 \r\n",
       "L 343.344645 98.576828 \r\n",
       "L 343.649313 96.562949 \r\n",
       "L 344.258649 94.764147 \r\n",
       "L 344.563318 92.886565 \r\n",
       "L 344.867986 94.053015 \r\n",
       "L 345.172654 92.634271 \r\n",
       "L 345.781991 99.667915 \r\n",
       "L 346.391328 96.128987 \r\n",
       "L 346.695996 98.708074 \r\n",
       "L 347.000664 95.499844 \r\n",
       "L 347.305332 97.248528 \r\n",
       "L 347.610001 103.06145 \r\n",
       "L 347.914669 106.014588 \r\n",
       "L 348.219337 106.320875 \r\n",
       "L 348.524006 106.193419 \r\n",
       "L 348.524006 106.193419 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_14\">\r\n",
       "    <path clip-path=\"url(#p452e65fab8)\" d=\"M 45.379043 73.157446 \r\n",
       "L 45.683711 80.054374 \r\n",
       "L 45.988379 83.005988 \r\n",
       "L 46.293047 84.607033 \r\n",
       "L 46.597716 82.788135 \r\n",
       "L 47.207052 75.046209 \r\n",
       "L 47.511721 72.149967 \r\n",
       "L 47.816389 76.022816 \r\n",
       "L 48.121057 74.32454 \r\n",
       "L 48.425726 74.730765 \r\n",
       "L 48.730394 78.539331 \r\n",
       "L 49.035062 74.826397 \r\n",
       "L 49.33973 74.861835 \r\n",
       "L 49.644399 78.185407 \r\n",
       "L 49.949067 79.173971 \r\n",
       "L 50.253735 73.539729 \r\n",
       "L 50.558404 78.279089 \r\n",
       "L 50.863072 76.649899 \r\n",
       "L 51.16774 71.937068 \r\n",
       "L 51.472409 73.999025 \r\n",
       "L 51.777077 71.049138 \r\n",
       "L 52.081745 69.519739 \r\n",
       "L 52.386414 70.891667 \r\n",
       "L 52.691082 65.664839 \r\n",
       "L 53.300418 60.854513 \r\n",
       "L 53.605087 56.226316 \r\n",
       "L 54.214423 60.620084 \r\n",
       "L 54.519092 65.077092 \r\n",
       "L 55.128428 69.545688 \r\n",
       "L 55.433097 68.681513 \r\n",
       "L 56.042433 64.643117 \r\n",
       "L 56.347102 65.27225 \r\n",
       "L 56.65177 62.621719 \r\n",
       "L 56.956438 61.587263 \r\n",
       "L 57.261106 64.345762 \r\n",
       "L 57.870443 57.798733 \r\n",
       "L 58.175111 55.668057 \r\n",
       "L 58.47978 54.335654 \r\n",
       "L 58.784448 57.606566 \r\n",
       "L 59.089116 62.295041 \r\n",
       "L 59.393785 61.393315 \r\n",
       "L 59.698453 55.10327 \r\n",
       "L 60.003121 52.796595 \r\n",
       "L 60.307789 48.532996 \r\n",
       "L 60.612458 53.140183 \r\n",
       "L 60.917126 55.266807 \r\n",
       "L 61.221794 48.613654 \r\n",
       "L 61.526463 46.705733 \r\n",
       "L 61.831131 43.130467 \r\n",
       "L 62.135799 45.472161 \r\n",
       "L 62.440468 50.379825 \r\n",
       "L 62.745136 48.787797 \r\n",
       "L 63.354473 57.224437 \r\n",
       "L 63.659141 55.356098 \r\n",
       "L 63.963809 57.198871 \r\n",
       "L 64.268477 52.594025 \r\n",
       "L 64.573146 45.626181 \r\n",
       "L 64.877814 52.075012 \r\n",
       "L 65.182482 50.455536 \r\n",
       "L 65.487151 52.837488 \r\n",
       "L 65.791819 53.86659 \r\n",
       "L 66.096487 50.638687 \r\n",
       "L 66.401156 49.675879 \r\n",
       "L 67.010492 51.350141 \r\n",
       "L 67.31516 51.151647 \r\n",
       "L 67.924497 57.606415 \r\n",
       "L 68.229165 57.350492 \r\n",
       "L 68.838502 47.888864 \r\n",
       "L 69.14317 40.722384 \r\n",
       "L 69.447839 38.048278 \r\n",
       "L 69.752507 38.424868 \r\n",
       "L 70.057175 41.737556 \r\n",
       "L 70.361844 42.786771 \r\n",
       "L 70.666512 39.220577 \r\n",
       "L 70.97118 40.543089 \r\n",
       "L 71.275848 38.272687 \r\n",
       "L 71.580517 38.557283 \r\n",
       "L 71.885185 40.179642 \r\n",
       "L 72.189853 38.61115 \r\n",
       "L 72.494522 41.188863 \r\n",
       "L 72.79919 39.691068 \r\n",
       "L 73.103858 43.116141 \r\n",
       "L 73.408527 48.917334 \r\n",
       "L 73.713195 44.372183 \r\n",
       "L 74.017863 44.149862 \r\n",
       "L 74.322531 40.737688 \r\n",
       "L 74.6272 39.293352 \r\n",
       "L 75.236536 43.428921 \r\n",
       "L 75.541205 43.31195 \r\n",
       "L 75.845873 45.367706 \r\n",
       "L 76.150541 43.35664 \r\n",
       "L 77.064546 28.670821 \r\n",
       "L 77.369215 31.727204 \r\n",
       "L 77.673883 38.446757 \r\n",
       "L 77.978551 42.41962 \r\n",
       "L 78.283219 44.1384 \r\n",
       "L 78.587888 43.886397 \r\n",
       "L 78.892556 44.013439 \r\n",
       "L 79.197224 44.860611 \r\n",
       "L 80.415898 32.84422 \r\n",
       "L 80.720566 35.18809 \r\n",
       "L 81.025234 35.917318 \r\n",
       "L 81.329902 45.208192 \r\n",
       "L 81.634571 43.848346 \r\n",
       "L 81.939239 38.195409 \r\n",
       "L 82.243907 38.675277 \r\n",
       "L 82.548576 34.422562 \r\n",
       "L 82.853244 34.681921 \r\n",
       "L 83.157912 40.291024 \r\n",
       "L 83.767249 32.112939 \r\n",
       "L 84.071917 33.419947 \r\n",
       "L 84.376586 30.027013 \r\n",
       "L 84.681254 31.095281 \r\n",
       "L 84.985922 31.600346 \r\n",
       "L 85.29059 28.74087 \r\n",
       "L 86.509264 44.596637 \r\n",
       "L 86.813932 45.765907 \r\n",
       "L 87.1186 42.788733 \r\n",
       "L 87.423269 43.993826 \r\n",
       "L 87.727937 42.626802 \r\n",
       "L 88.032605 35.644628 \r\n",
       "L 88.337273 37.276471 \r\n",
       "L 88.641942 37.538028 \r\n",
       "L 88.94661 37.419 \r\n",
       "L 89.251278 35.698952 \r\n",
       "L 89.860615 33.496276 \r\n",
       "L 90.165283 34.037289 \r\n",
       "L 90.469952 33.352176 \r\n",
       "L 90.77462 34.461773 \r\n",
       "L 91.079288 32.619916 \r\n",
       "L 91.383957 32.425854 \r\n",
       "L 91.688625 35.606335 \r\n",
       "L 91.993293 33.850229 \r\n",
       "L 92.297961 34.165764 \r\n",
       "L 92.907298 29.512547 \r\n",
       "L 93.211966 35.542645 \r\n",
       "L 93.516635 34.858792 \r\n",
       "L 93.821303 35.015224 \r\n",
       "L 94.125971 36.494977 \r\n",
       "L 94.43064 28.261389 \r\n",
       "L 94.735308 35.949281 \r\n",
       "L 95.039976 36.636281 \r\n",
       "L 95.344645 37.950732 \r\n",
       "L 95.649313 41.80039 \r\n",
       "L 95.953981 39.777509 \r\n",
       "L 96.258649 42.909995 \r\n",
       "L 96.563318 42.847532 \r\n",
       "L 96.867986 43.380263 \r\n",
       "L 97.172654 41.434833 \r\n",
       "L 98.086659 29.78752 \r\n",
       "L 98.391328 34.083728 \r\n",
       "L 98.695996 31.890714 \r\n",
       "L 99.000664 32.685926 \r\n",
       "L 99.305332 33.876199 \r\n",
       "L 99.610001 32.517116 \r\n",
       "L 99.914669 37.742927 \r\n",
       "L 100.219337 36.022583 \r\n",
       "L 100.524006 38.725762 \r\n",
       "L 100.828674 36.667466 \r\n",
       "L 101.133342 37.097442 \r\n",
       "L 101.742679 27.676969 \r\n",
       "L 102.352016 23.240637 \r\n",
       "L 102.656684 24.883633 \r\n",
       "L 102.961352 24.920109 \r\n",
       "L 103.26602 29.143887 \r\n",
       "L 103.570689 29.286255 \r\n",
       "L 103.875357 28.540765 \r\n",
       "L 104.180025 29.331233 \r\n",
       "L 104.484694 25.821414 \r\n",
       "L 104.789362 30.707086 \r\n",
       "L 105.398699 33.637163 \r\n",
       "L 105.703367 36.007972 \r\n",
       "L 106.008035 36.912982 \r\n",
       "L 106.312703 41.412416 \r\n",
       "L 106.617372 44.220554 \r\n",
       "L 107.226708 34.202038 \r\n",
       "L 107.531377 32.982317 \r\n",
       "L 108.140713 39.664137 \r\n",
       "L 108.445382 47.884291 \r\n",
       "L 108.75005 46.650561 \r\n",
       "L 109.054718 48.208871 \r\n",
       "L 109.359387 48.134474 \r\n",
       "L 109.664055 40.25379 \r\n",
       "L 109.968723 42.440199 \r\n",
       "L 110.273391 38.606568 \r\n",
       "L 110.57806 39.95306 \r\n",
       "L 110.882728 43.958465 \r\n",
       "L 111.187396 38.769635 \r\n",
       "L 111.492065 42.502331 \r\n",
       "L 111.796733 44.500095 \r\n",
       "L 112.101401 41.733623 \r\n",
       "L 112.40607 46.02311 \r\n",
       "L 112.710738 45.342002 \r\n",
       "L 113.015406 40.827881 \r\n",
       "L 113.624743 46.637154 \r\n",
       "L 113.929411 44.795458 \r\n",
       "L 114.234079 44.199292 \r\n",
       "L 114.538748 44.056231 \r\n",
       "L 114.843416 41.582142 \r\n",
       "L 115.148084 43.763298 \r\n",
       "L 115.452753 49.961308 \r\n",
       "L 115.757421 52.567805 \r\n",
       "L 116.062089 51.137492 \r\n",
       "L 116.976094 39.613394 \r\n",
       "L 117.280762 39.68895 \r\n",
       "L 117.890099 44.729223 \r\n",
       "L 118.499436 47.681892 \r\n",
       "L 118.804104 51.209407 \r\n",
       "L 119.108772 49.577091 \r\n",
       "L 119.413441 47.244681 \r\n",
       "L 119.718109 47.355982 \r\n",
       "L 120.022777 46.048078 \r\n",
       "L 120.632114 58.423125 \r\n",
       "L 120.936782 55.510051 \r\n",
       "L 121.24145 55.256055 \r\n",
       "L 121.546119 55.433097 \r\n",
       "L 121.850787 52.306614 \r\n",
       "L 122.155455 54.352002 \r\n",
       "L 123.06946 55.297347 \r\n",
       "L 123.374129 56.462935 \r\n",
       "L 123.983465 55.62408 \r\n",
       "L 124.288133 55.86442 \r\n",
       "L 124.592802 52.632135 \r\n",
       "L 124.89747 56.083037 \r\n",
       "L 125.202138 57.026063 \r\n",
       "L 125.506807 58.543965 \r\n",
       "L 125.811475 61.082553 \r\n",
       "L 126.116143 58.204596 \r\n",
       "L 126.420812 61.741427 \r\n",
       "L 126.72548 60.090642 \r\n",
       "L 127.030148 61.746223 \r\n",
       "L 127.334816 60.381679 \r\n",
       "L 128.248821 52.128483 \r\n",
       "L 128.55349 55.947327 \r\n",
       "L 128.858158 54.446064 \r\n",
       "L 129.162826 61.39082 \r\n",
       "L 129.467495 61.16534 \r\n",
       "L 129.772163 62.855803 \r\n",
       "L 130.076831 67.732957 \r\n",
       "L 130.3815 66.754116 \r\n",
       "L 130.686168 73.913489 \r\n",
       "L 130.990836 70.104796 \r\n",
       "L 131.295504 71.780851 \r\n",
       "L 131.600173 72.628571 \r\n",
       "L 131.904841 71.827729 \r\n",
       "L 132.209509 74.184773 \r\n",
       "L 132.514178 75.577607 \r\n",
       "L 132.818846 73.412901 \r\n",
       "L 133.123514 72.721114 \r\n",
       "L 133.428183 73.733987 \r\n",
       "L 133.732851 71.474164 \r\n",
       "L 134.037519 73.073669 \r\n",
       "L 134.342187 73.734841 \r\n",
       "L 134.646856 74.054962 \r\n",
       "L 134.951524 73.497558 \r\n",
       "L 135.560861 84.594228 \r\n",
       "L 135.865529 82.332819 \r\n",
       "L 136.170197 82.913737 \r\n",
       "L 136.474866 77.294934 \r\n",
       "L 136.779534 74.809659 \r\n",
       "L 137.084202 77.76806 \r\n",
       "L 137.388871 79.294955 \r\n",
       "L 137.693539 81.627483 \r\n",
       "L 137.998207 77.98624 \r\n",
       "L 138.302875 76.720202 \r\n",
       "L 138.607544 73.816324 \r\n",
       "L 138.912212 78.801776 \r\n",
       "L 139.21688 77.41817 \r\n",
       "L 139.521549 78.754297 \r\n",
       "L 140.130885 85.244469 \r\n",
       "L 140.435554 86.856955 \r\n",
       "L 140.740222 87.769186 \r\n",
       "L 141.04489 86.727161 \r\n",
       "L 141.349559 80.999221 \r\n",
       "L 141.654227 82.515043 \r\n",
       "L 141.958895 82.741602 \r\n",
       "L 142.263563 78.040408 \r\n",
       "L 142.568232 82.91909 \r\n",
       "L 143.177568 83.27695 \r\n",
       "L 143.482237 80.723638 \r\n",
       "L 143.786905 81.14771 \r\n",
       "L 144.091573 79.190867 \r\n",
       "L 144.396242 84.164483 \r\n",
       "L 144.70091 83.866315 \r\n",
       "L 145.005578 77.784914 \r\n",
       "L 145.310246 79.224901 \r\n",
       "L 145.614915 77.157286 \r\n",
       "L 145.919583 80.527943 \r\n",
       "L 146.224251 81.746148 \r\n",
       "L 146.52892 81.55533 \r\n",
       "L 147.138256 74.469874 \r\n",
       "L 147.747593 86.376854 \r\n",
       "L 148.052261 92.816816 \r\n",
       "L 148.35693 93.879066 \r\n",
       "L 149.270934 87.715744 \r\n",
       "L 149.575603 86.722793 \r\n",
       "L 150.184939 90.366758 \r\n",
       "L 150.489608 90.456494 \r\n",
       "L 150.794276 88.141771 \r\n",
       "L 151.098944 92.174135 \r\n",
       "L 151.403613 93.397267 \r\n",
       "L 151.708281 92.822553 \r\n",
       "L 152.012949 97.08422 \r\n",
       "L 152.317617 98.558837 \r\n",
       "L 152.622286 95.507014 \r\n",
       "L 153.231622 100.074444 \r\n",
       "L 153.536291 95.748266 \r\n",
       "L 154.145627 104.719534 \r\n",
       "L 154.450296 101.157042 \r\n",
       "L 154.754964 104.380434 \r\n",
       "L 155.059632 105.77742 \r\n",
       "L 155.364301 105.335247 \r\n",
       "L 155.668969 108.39984 \r\n",
       "L 155.973637 106.073987 \r\n",
       "L 156.278305 106.988222 \r\n",
       "L 156.582974 101.738709 \r\n",
       "L 156.887642 99.80666 \r\n",
       "L 157.19231 100.192258 \r\n",
       "L 157.496979 98.101532 \r\n",
       "L 157.801647 101.551712 \r\n",
       "L 158.106315 112.085539 \r\n",
       "L 158.410984 111.739298 \r\n",
       "L 158.715652 116.2029 \r\n",
       "L 159.02032 115.26581 \r\n",
       "L 159.324988 109.440412 \r\n",
       "L 159.934325 107.445621 \r\n",
       "L 160.238993 106.977436 \r\n",
       "L 160.84833 103.598776 \r\n",
       "L 161.152998 105.029294 \r\n",
       "L 161.457667 105.004863 \r\n",
       "L 161.762335 108.680814 \r\n",
       "L 162.067003 110.777395 \r\n",
       "L 162.67634 111.753812 \r\n",
       "L 162.981008 111.252517 \r\n",
       "L 163.285676 111.666583 \r\n",
       "L 163.590345 109.533342 \r\n",
       "L 163.895013 108.639779 \r\n",
       "L 164.199681 111.386141 \r\n",
       "L 164.50435 108.071915 \r\n",
       "L 165.113686 111.92539 \r\n",
       "L 165.418355 112.193088 \r\n",
       "L 165.723023 119.393709 \r\n",
       "L 166.027691 117.806106 \r\n",
       "L 166.332359 118.988689 \r\n",
       "L 166.941696 110.917813 \r\n",
       "L 167.246364 113.76412 \r\n",
       "L 167.551033 111.010585 \r\n",
       "L 167.855701 112.705017 \r\n",
       "L 168.465038 116.925322 \r\n",
       "L 168.769706 121.389983 \r\n",
       "L 169.683711 116.429676 \r\n",
       "L 169.988379 109.631249 \r\n",
       "L 170.293047 115.162406 \r\n",
       "L 170.902384 117.219871 \r\n",
       "L 171.207052 123.294413 \r\n",
       "L 171.511721 119.586381 \r\n",
       "L 171.816389 121.691004 \r\n",
       "L 172.121057 121.146282 \r\n",
       "L 172.425726 116.735386 \r\n",
       "L 172.730394 116.205028 \r\n",
       "L 173.035062 115.251748 \r\n",
       "L 173.33973 114.858958 \r\n",
       "L 173.644399 118.458257 \r\n",
       "L 173.949067 120.248693 \r\n",
       "L 174.253735 120.905924 \r\n",
       "L 174.558404 122.672027 \r\n",
       "L 175.16774 120.93018 \r\n",
       "L 175.472409 116.934414 \r\n",
       "L 175.777077 120.004523 \r\n",
       "L 176.081745 120.69908 \r\n",
       "L 176.386414 126.153457 \r\n",
       "L 176.691082 128.703154 \r\n",
       "L 176.99575 121.653033 \r\n",
       "L 177.300418 121.534547 \r\n",
       "L 177.605087 117.405566 \r\n",
       "L 177.909755 111.73246 \r\n",
       "L 178.214423 118.454538 \r\n",
       "L 178.519092 118.659647 \r\n",
       "L 178.82376 121.139104 \r\n",
       "L 179.128428 127.198315 \r\n",
       "L 179.737765 119.182129 \r\n",
       "L 180.042433 120.801103 \r\n",
       "L 180.347102 118.380979 \r\n",
       "L 180.956438 125.194625 \r\n",
       "L 181.565775 125.999399 \r\n",
       "L 181.870443 121.346081 \r\n",
       "L 182.175111 124.439964 \r\n",
       "L 182.47978 121.207239 \r\n",
       "L 182.784448 124.022783 \r\n",
       "L 183.089116 125.291889 \r\n",
       "L 183.393785 119.193219 \r\n",
       "L 183.698453 123.956307 \r\n",
       "L 184.003121 120.051597 \r\n",
       "L 184.307789 119.793312 \r\n",
       "L 184.612458 118.998319 \r\n",
       "L 185.221794 118.697046 \r\n",
       "L 185.526463 118.70905 \r\n",
       "L 186.135799 122.086015 \r\n",
       "L 186.440468 119.60103 \r\n",
       "L 186.745136 120.580744 \r\n",
       "L 187.049804 127.244192 \r\n",
       "L 187.659141 125.03104 \r\n",
       "L 187.963809 126.557794 \r\n",
       "L 188.268477 121.050285 \r\n",
       "L 188.573146 120.407297 \r\n",
       "L 188.877814 124.292928 \r\n",
       "L 189.182482 124.636355 \r\n",
       "L 189.487151 127.273615 \r\n",
       "L 190.401156 120.547489 \r\n",
       "L 190.705824 118.303019 \r\n",
       "L 191.010492 120.375098 \r\n",
       "L 191.31516 120.641443 \r\n",
       "L 191.619829 119.088734 \r\n",
       "L 191.924497 123.955644 \r\n",
       "L 192.229165 124.915651 \r\n",
       "L 192.533834 123.366325 \r\n",
       "L 192.838502 120.343059 \r\n",
       "L 193.14317 121.309232 \r\n",
       "L 193.447839 119.365033 \r\n",
       "L 193.752507 119.316532 \r\n",
       "L 194.057175 126.28923 \r\n",
       "L 194.361844 125.920716 \r\n",
       "L 194.666512 122.003799 \r\n",
       "L 194.97118 125.537445 \r\n",
       "L 195.275848 119.848073 \r\n",
       "L 195.580517 117.844672 \r\n",
       "L 196.189853 122.113195 \r\n",
       "L 196.494522 123.35192 \r\n",
       "L 196.79919 125.20111 \r\n",
       "L 197.103858 121.367326 \r\n",
       "L 197.408527 127.340287 \r\n",
       "L 197.713195 126.356202 \r\n",
       "L 198.017863 120.671685 \r\n",
       "L 198.322531 121.479706 \r\n",
       "L 198.6272 115.012469 \r\n",
       "L 198.931868 115.503894 \r\n",
       "L 199.236536 115.320716 \r\n",
       "L 199.541205 117.503561 \r\n",
       "L 199.845873 121.25173 \r\n",
       "L 200.150541 116.70088 \r\n",
       "L 200.45521 114.682017 \r\n",
       "L 200.759878 118.691395 \r\n",
       "L 201.064546 119.036195 \r\n",
       "L 201.369215 119.61617 \r\n",
       "L 201.673883 122.500062 \r\n",
       "L 201.978551 118.849822 \r\n",
       "L 202.587888 118.674251 \r\n",
       "L 202.892556 120.528011 \r\n",
       "L 203.197224 119.961031 \r\n",
       "L 203.501893 120.816572 \r\n",
       "L 203.806561 118.936388 \r\n",
       "L 204.111229 118.199187 \r\n",
       "L 204.415898 118.864145 \r\n",
       "L 205.025234 117.274562 \r\n",
       "L 205.329902 118.864358 \r\n",
       "L 205.634571 119.596269 \r\n",
       "L 205.939239 118.886631 \r\n",
       "L 206.243907 119.504357 \r\n",
       "L 206.548576 118.17736 \r\n",
       "L 207.157912 114.671541 \r\n",
       "L 207.462581 113.756945 \r\n",
       "L 208.071917 110.049349 \r\n",
       "L 208.376586 111.258731 \r\n",
       "L 208.681254 110.838834 \r\n",
       "L 208.985922 114.084496 \r\n",
       "L 209.29059 113.329604 \r\n",
       "L 209.595259 117.457072 \r\n",
       "L 209.899927 117.161388 \r\n",
       "L 210.204595 119.330157 \r\n",
       "L 210.509264 119.284052 \r\n",
       "L 210.813932 112.963899 \r\n",
       "L 211.423269 108.821704 \r\n",
       "L 211.727937 112.536122 \r\n",
       "L 212.032605 113.760077 \r\n",
       "L 212.337273 113.986062 \r\n",
       "L 212.641942 114.986996 \r\n",
       "L 212.94661 112.848793 \r\n",
       "L 213.251278 115.531191 \r\n",
       "L 213.860615 110.193115 \r\n",
       "L 214.165283 107.843475 \r\n",
       "L 214.469952 102.859876 \r\n",
       "L 214.77462 100.671825 \r\n",
       "L 215.079288 105.079709 \r\n",
       "L 215.383957 101.937685 \r\n",
       "L 215.688625 109.364241 \r\n",
       "L 215.993293 110.9189 \r\n",
       "L 216.297961 108.497514 \r\n",
       "L 216.60263 109.940746 \r\n",
       "L 216.907298 108.786032 \r\n",
       "L 217.211966 110.281578 \r\n",
       "L 217.516635 110.74492 \r\n",
       "L 217.821303 103.794121 \r\n",
       "L 218.125971 99.828888 \r\n",
       "L 218.43064 98.838288 \r\n",
       "L 218.735308 100.93321 \r\n",
       "L 219.344645 107.897845 \r\n",
       "L 219.953981 94.015407 \r\n",
       "L 220.563318 87.098447 \r\n",
       "L 220.867986 97.476717 \r\n",
       "L 221.477323 103.937335 \r\n",
       "L 221.781991 110.918716 \r\n",
       "L 222.086659 106.8358 \r\n",
       "L 222.391328 107.033697 \r\n",
       "L 223.305332 93.307012 \r\n",
       "L 223.610001 100.017371 \r\n",
       "L 223.914669 97.323362 \r\n",
       "L 224.219337 98.254212 \r\n",
       "L 224.524006 96.765777 \r\n",
       "L 224.828674 91.005424 \r\n",
       "L 225.133342 93.230948 \r\n",
       "L 225.438011 89.937491 \r\n",
       "L 225.742679 89.08697 \r\n",
       "L 226.047347 93.12681 \r\n",
       "L 226.352016 94.380412 \r\n",
       "L 226.656684 98.092082 \r\n",
       "L 226.961352 94.451532 \r\n",
       "L 227.570689 95.755441 \r\n",
       "L 227.875357 95.990081 \r\n",
       "L 228.180025 95.612197 \r\n",
       "L 228.789362 96.005761 \r\n",
       "L 230.617372 96.475697 \r\n",
       "L 240.366758 99.563323 \r\n",
       "L 246.460124 101.791372 \r\n",
       "L 252.248821 104.152536 \r\n",
       "L 257.732851 106.633893 \r\n",
       "L 262.912212 109.218977 \r\n",
       "L 267.786905 111.887798 \r\n",
       "L 272.661598 114.807201 \r\n",
       "L 277.231622 117.792614 \r\n",
       "L 281.801647 121.040068 \r\n",
       "L 286.371672 124.57257 \r\n",
       "L 290.637028 128.14878 \r\n",
       "L 294.902384 132.01713 \r\n",
       "L 299.16774 136.201496 \r\n",
       "L 303.128428 140.392458 \r\n",
       "L 307.089116 144.900436 \r\n",
       "L 311.049804 149.749382 \r\n",
       "L 315.010492 154.965104 \r\n",
       "L 318.97118 160.575326 \r\n",
       "L 322.6272 166.129954 \r\n",
       "L 326.283219 172.071321 \r\n",
       "L 329.939239 178.42632 \r\n",
       "L 333.595259 185.223804 \r\n",
       "L 337.251278 192.494539 \r\n",
       "L 340.907298 200.271494 \r\n",
       "L 344.563318 208.589934 \r\n",
       "L 348.219337 217.487503 \r\n",
       "L 348.524006 218.256364 \r\n",
       "L 348.524006 218.256364 \r\n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 28.942188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 363.742188 228.14 \r\n",
       "L 363.742188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 363.742188 228.14 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 28.942188 10.7 \r\n",
       "L 363.742188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_7\">\r\n",
       "     <path d=\"M 35.942188 223.14 \r\n",
       "L 115.128125 223.14 \r\n",
       "Q 117.128125 223.14 117.128125 221.14 \r\n",
       "L 117.128125 178.105625 \r\n",
       "Q 117.128125 176.105625 115.128125 176.105625 \r\n",
       "L 35.942188 176.105625 \r\n",
       "Q 33.942188 176.105625 33.942188 178.105625 \r\n",
       "L 33.942188 221.14 \r\n",
       "Q 33.942188 223.14 35.942188 223.14 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_15\">\r\n",
       "     <path d=\"M 37.942188 184.204062 \r\n",
       "L 57.942188 184.204062 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_16\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- data -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-64\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-61\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-74\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(65.942188 187.704062)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-64\"/>\r\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"163.964844\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_17\">\r\n",
       "     <path d=\"M 37.942188 198.882187 \r\n",
       "L 57.942188 198.882187 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_18\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- estimate -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-65\"/>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-73\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-69\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-6d\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(65.942188 202.382187)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"113.623047\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-69\"/>\r\n",
       "      <use x=\"180.615234\" xlink:href=\"#DejaVuSans-6d\"/>\r\n",
       "      <use x=\"278.027344\" xlink:href=\"#DejaVuSans-61\"/>\r\n",
       "      <use x=\"339.306641\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"378.515625\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_19\">\r\n",
       "     <path d=\"M 37.942188 213.560312 \r\n",
       "L 57.942188 213.560312 \r\n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_20\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- multistep -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-75\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-6c\"/>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-70\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(65.942188 217.060312)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-6d\"/>\r\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-75\"/>\r\n",
       "      <use x=\"160.791016\" xlink:href=\"#DejaVuSans-6c\"/>\r\n",
       "      <use x=\"188.574219\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"227.783203\" xlink:href=\"#DejaVuSans-69\"/>\r\n",
       "      <use x=\"255.566406\" xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"307.666016\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"346.875\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"408.398438\" xlink:href=\"#DejaVuSans-70\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p452e65fab8\">\r\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"28.942188\" y=\"10.7\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions = torch.zeros_like(estimates)\n",
    "predictions[:(ntrain-embedding)] = estimates[:(ntrain-embedding)]\n",
    "for i in range(ntrain-embedding, T-embedding):\n",
    "    predictions[i] = net(\n",
    "        predictions[(i-embedding):i].reshape(1,-1)).reshape(1)\n",
    "\n",
    "plt.plot(time.numpy(), x.numpy(), label='data');\n",
    "plt.plot(time[embedding:].numpy(), estimates.detach().numpy(), label='estimate');\n",
    "plt.plot(time[embedding:].numpy(), predictions.detach().numpy(),\n",
    "         label='multistep');\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As the above example shows, this is a spectacular failure. The estimates decay to 0 pretty quickly after a few prediction steps. Why did the algorithm work so poorly? This is ultimately due to the fact that errors build up. Let's say that after step 1 we have some error $\\epsilon_1 = \\bar\\epsilon$. Now the *input* for step 2 is perturbed by $\\epsilon_1$, hence we suffer some error in the order of $\\epsilon_2 = \\bar\\epsilon + L \\epsilon_1$, and so on. The error can diverge rather rapidly from the true observations. This is a common phenomenon - for instance weather forecasts for the next 24 hours tend to be pretty accurate but beyond that their accuracy declines rapidly. We will discuss methods for improvig this throughout this chapter and beyond.\n",
    "\n",
    "Let's verify this observation by computing the $k$-step predictions on the entire sequence.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\r\n",
       "<svg height=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 374.442187 252.018125\" width=\"374.442187pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 252.018125 \r\n",
       "L 374.442187 252.018125 \r\n",
       "L 374.442187 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 363.742188 228.14 \r\n",
       "L 363.742188 10.7 \r\n",
       "L 28.942188 10.7 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 3.5 \r\n",
       "\" id=\"m2e26499711\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.935566\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-30\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(39.754316 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"104.175734\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 200 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-32\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(94.631984 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"165.415903\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- 400 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-34\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(155.872153 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"226.656071\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 600 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-36\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(217.112321 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"287.896239\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 800 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-38\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(278.352489 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"349.136407\" xlink:href=\"#m2e26499711\" y=\"228.14\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 1000 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-31\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(336.411407 242.738437)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L -3.5 0 \r\n",
       "\" id=\"m6645e1bc6a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"206.091109\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- −1 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-2212\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(7.2 209.890328)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\r\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"169.695782\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g transform=\"translate(15.579688 173.495001)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"133.300455\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- 1 -->\r\n",
       "      <g transform=\"translate(15.579688 137.099674)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"96.905128\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 2 -->\r\n",
       "      <g transform=\"translate(15.579688 100.704347)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"60.509801\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 3 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 40.578125 39.3125 \r\n",
       "Q 47.65625 37.796875 51.625 33 \r\n",
       "Q 55.609375 28.21875 55.609375 21.1875 \r\n",
       "Q 55.609375 10.40625 48.1875 4.484375 \r\n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \r\n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \r\n",
       "Q 12.796875 0.390625 7.625 2.203125 \r\n",
       "L 7.625 11.71875 \r\n",
       "Q 11.71875 9.328125 16.59375 8.109375 \r\n",
       "Q 21.484375 6.890625 26.8125 6.890625 \r\n",
       "Q 36.078125 6.890625 40.9375 10.546875 \r\n",
       "Q 45.796875 14.203125 45.796875 21.1875 \r\n",
       "Q 45.796875 27.640625 41.28125 31.265625 \r\n",
       "Q 36.765625 34.90625 28.71875 34.90625 \r\n",
       "L 20.21875 34.90625 \r\n",
       "L 20.21875 43.015625 \r\n",
       "L 29.109375 43.015625 \r\n",
       "Q 36.375 43.015625 40.234375 45.921875 \r\n",
       "Q 44.09375 48.828125 44.09375 54.296875 \r\n",
       "Q 44.09375 59.90625 40.109375 62.90625 \r\n",
       "Q 36.140625 65.921875 28.71875 65.921875 \r\n",
       "Q 24.65625 65.921875 20.015625 65.03125 \r\n",
       "Q 15.375 64.15625 9.8125 62.3125 \r\n",
       "L 9.8125 71.09375 \r\n",
       "Q 15.4375 72.65625 20.34375 73.4375 \r\n",
       "Q 25.25 74.21875 29.59375 74.21875 \r\n",
       "Q 40.828125 74.21875 47.359375 69.109375 \r\n",
       "Q 53.90625 64.015625 53.90625 55.328125 \r\n",
       "Q 53.90625 49.265625 50.4375 45.09375 \r\n",
       "Q 46.96875 40.921875 40.578125 39.3125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-33\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(15.579688 64.309019)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.942188\" xlink:href=\"#m6645e1bc6a\" y=\"24.114473\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- 4 -->\r\n",
       "      <g transform=\"translate(15.579688 27.913692)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_13\">\r\n",
       "    <path clip-path=\"url(#p04d49646fa)\" d=\"M 44.160369 163.094073 \r\n",
       "L 44.46657 169.055716 \r\n",
       "L 44.772771 171.607065 \r\n",
       "L 45.078972 172.990994 \r\n",
       "L 45.385173 171.418755 \r\n",
       "L 45.997574 164.726703 \r\n",
       "L 46.303775 162.223217 \r\n",
       "L 46.609976 165.570873 \r\n",
       "L 46.916177 164.102899 \r\n",
       "L 47.222378 164.454036 \r\n",
       "L 47.528579 167.746126 \r\n",
       "L 47.834779 164.5367 \r\n",
       "L 48.14098 164.567331 \r\n",
       "L 48.447181 167.440198 \r\n",
       "L 48.753382 168.294703 \r\n",
       "L 49.059583 163.424515 \r\n",
       "L 49.365784 167.521175 \r\n",
       "L 49.671984 166.112918 \r\n",
       "L 49.978185 162.03919 \r\n",
       "L 50.284386 163.821526 \r\n",
       "L 50.590587 161.271671 \r\n",
       "L 50.896788 159.949672 \r\n",
       "L 51.202989 161.135554 \r\n",
       "L 51.50919 156.61753 \r\n",
       "L 52.121591 152.459528 \r\n",
       "L 52.427792 148.458956 \r\n",
       "L 53.040194 152.25689 \r\n",
       "L 53.346395 156.109487 \r\n",
       "L 53.958796 159.972102 \r\n",
       "L 54.264997 159.225117 \r\n",
       "L 54.877399 155.734363 \r\n",
       "L 55.1836 156.27818 \r\n",
       "L 55.4898 153.987085 \r\n",
       "L 55.796001 153.092911 \r\n",
       "L 56.102202 155.477332 \r\n",
       "L 56.714604 149.818139 \r\n",
       "L 57.020805 147.976401 \r\n",
       "L 57.327005 146.824684 \r\n",
       "L 57.633206 149.652031 \r\n",
       "L 57.939407 153.704707 \r\n",
       "L 58.245608 152.925264 \r\n",
       "L 58.551809 147.488204 \r\n",
       "L 58.85801 145.494336 \r\n",
       "L 59.164211 141.808919 \r\n",
       "L 59.470411 145.79133 \r\n",
       "L 59.776612 147.629564 \r\n",
       "L 60.082813 141.878639 \r\n",
       "L 60.389014 140.229449 \r\n",
       "L 60.695215 137.13902 \r\n",
       "L 61.001416 139.16316 \r\n",
       "L 61.307616 143.405301 \r\n",
       "L 61.613817 142.029166 \r\n",
       "L 62.226219 149.321723 \r\n",
       "L 62.53242 147.706747 \r\n",
       "L 62.838621 149.299624 \r\n",
       "L 63.144821 145.319236 \r\n",
       "L 63.451022 139.296294 \r\n",
       "L 63.757223 144.870606 \r\n",
       "L 64.063424 143.470745 \r\n",
       "L 64.369625 145.529683 \r\n",
       "L 64.675826 146.41923 \r\n",
       "L 64.982027 143.629059 \r\n",
       "L 65.288227 142.796817 \r\n",
       "L 65.900629 144.244033 \r\n",
       "L 66.20683 144.072457 \r\n",
       "L 66.819232 149.651901 \r\n",
       "L 67.125432 149.430684 \r\n",
       "L 67.737834 141.252136 \r\n",
       "L 68.044035 135.057496 \r\n",
       "L 68.350236 132.746022 \r\n",
       "L 68.656437 133.071543 \r\n",
       "L 68.962637 135.935001 \r\n",
       "L 69.268838 136.841933 \r\n",
       "L 69.575039 133.759347 \r\n",
       "L 69.88124 134.902514 \r\n",
       "L 70.187441 132.939999 \r\n",
       "L 70.493642 133.186001 \r\n",
       "L 70.799843 134.588354 \r\n",
       "L 71.106043 133.232564 \r\n",
       "L 71.412244 135.460716 \r\n",
       "L 71.718445 134.166035 \r\n",
       "L 72.024646 137.126638 \r\n",
       "L 72.330847 142.141136 \r\n",
       "L 72.637048 138.212349 \r\n",
       "L 72.943248 138.020176 \r\n",
       "L 73.249449 135.070724 \r\n",
       "L 73.55565 133.822253 \r\n",
       "L 74.168052 137.397001 \r\n",
       "L 74.474253 137.295893 \r\n",
       "L 74.780453 139.07287 \r\n",
       "L 75.086654 137.334523 \r\n",
       "L 76.005257 124.640231 \r\n",
       "L 76.311458 127.282142 \r\n",
       "L 76.617659 133.090464 \r\n",
       "L 76.923859 136.52457 \r\n",
       "L 77.23006 138.010269 \r\n",
       "L 77.536261 137.79244 \r\n",
       "L 77.842462 137.902254 \r\n",
       "L 78.148663 138.634542 \r\n",
       "L 79.373466 128.247681 \r\n",
       "L 79.679667 130.273701 \r\n",
       "L 79.985868 130.904039 \r\n",
       "L 80.292069 138.934987 \r\n",
       "L 80.598269 137.759549 \r\n",
       "L 80.90447 132.873201 \r\n",
       "L 81.210671 133.287994 \r\n",
       "L 81.516872 129.611986 \r\n",
       "L 81.823073 129.836173 \r\n",
       "L 82.129274 134.684631 \r\n",
       "L 82.741675 127.615568 \r\n",
       "L 83.047876 128.745334 \r\n",
       "L 83.354077 125.812512 \r\n",
       "L 83.660278 126.735913 \r\n",
       "L 83.966479 127.172487 \r\n",
       "L 84.27268 124.700782 \r\n",
       "L 85.497483 138.406365 \r\n",
       "L 85.803684 139.417071 \r\n",
       "L 86.109885 136.843629 \r\n",
       "L 86.416085 137.8853 \r\n",
       "L 86.722286 136.703657 \r\n",
       "L 87.028487 130.668328 \r\n",
       "L 87.334688 132.078879 \r\n",
       "L 87.640889 132.304967 \r\n",
       "L 87.94709 132.20208 \r\n",
       "L 88.25329 130.715285 \r\n",
       "L 88.865692 128.811312 \r\n",
       "L 89.171893 129.278959 \r\n",
       "L 89.478094 128.686753 \r\n",
       "L 89.784295 129.645879 \r\n",
       "L 90.090496 128.053795 \r\n",
       "L 90.396696 127.886049 \r\n",
       "L 90.702897 130.635229 \r\n",
       "L 91.009098 129.117265 \r\n",
       "L 91.315299 129.390011 \r\n",
       "L 91.927701 125.367812 \r\n",
       "L 92.233901 130.580175 \r\n",
       "L 92.540102 129.989059 \r\n",
       "L 92.846303 130.124277 \r\n",
       "L 93.152504 131.403362 \r\n",
       "L 93.458705 124.286323 \r\n",
       "L 93.764906 130.931668 \r\n",
       "L 94.071106 131.525504 \r\n",
       "L 94.377307 132.661704 \r\n",
       "L 94.683508 135.989314 \r\n",
       "L 94.989709 134.240753 \r\n",
       "L 95.29591 136.948447 \r\n",
       "L 95.602111 136.894454 \r\n",
       "L 95.908312 137.354942 \r\n",
       "L 96.214512 135.673329 \r\n",
       "L 97.133115 125.605497 \r\n",
       "L 97.439316 129.3191 \r\n",
       "L 97.745517 127.423478 \r\n",
       "L 98.051717 128.110852 \r\n",
       "L 98.357918 129.139714 \r\n",
       "L 98.664119 127.964934 \r\n",
       "L 98.97032 132.482079 \r\n",
       "L 99.276521 130.995029 \r\n",
       "L 99.582722 133.331633 \r\n",
       "L 99.888922 131.552461 \r\n",
       "L 100.195123 131.924128 \r\n",
       "L 100.807525 123.781155 \r\n",
       "L 101.419927 119.946429 \r\n",
       "L 101.726128 121.366621 \r\n",
       "L 102.032328 121.39815 \r\n",
       "L 102.338529 125.049146 \r\n",
       "L 102.64473 125.172208 \r\n",
       "L 102.950931 124.527812 \r\n",
       "L 103.257132 125.211086 \r\n",
       "L 103.563333 122.17723 \r\n",
       "L 103.869533 126.400361 \r\n",
       "L 104.481935 128.933094 \r\n",
       "L 104.788136 130.982399 \r\n",
       "L 105.094337 131.764682 \r\n",
       "L 105.400538 135.653953 \r\n",
       "L 105.706738 138.081282 \r\n",
       "L 106.31914 129.421367 \r\n",
       "L 106.625341 128.36705 \r\n",
       "L 107.237743 134.142756 \r\n",
       "L 107.543943 141.248184 \r\n",
       "L 107.850144 140.181758 \r\n",
       "L 108.156345 141.528747 \r\n",
       "L 108.462546 141.46444 \r\n",
       "L 108.768747 134.652447 \r\n",
       "L 109.074948 136.542359 \r\n",
       "L 109.381149 133.228602 \r\n",
       "L 109.687349 134.392498 \r\n",
       "L 109.99355 137.854735 \r\n",
       "L 110.299751 133.369557 \r\n",
       "L 110.605952 136.596065 \r\n",
       "L 110.912153 138.322915 \r\n",
       "L 111.218354 135.931601 \r\n",
       "L 111.524554 139.639395 \r\n",
       "L 111.830755 139.050652 \r\n",
       "L 112.136956 135.148686 \r\n",
       "L 112.749358 140.170169 \r\n",
       "L 113.055559 138.578224 \r\n",
       "L 113.361759 138.062903 \r\n",
       "L 113.66796 137.939243 \r\n",
       "L 113.974161 135.800663 \r\n",
       "L 114.280362 137.686034 \r\n",
       "L 114.586563 143.043539 \r\n",
       "L 114.892764 145.296571 \r\n",
       "L 115.198965 144.060222 \r\n",
       "L 116.117567 134.098894 \r\n",
       "L 116.423768 134.164204 \r\n",
       "L 117.03617 138.520971 \r\n",
       "L 117.648571 141.073231 \r\n",
       "L 117.954772 144.122384 \r\n",
       "L 118.260973 142.711425 \r\n",
       "L 118.567174 140.69531 \r\n",
       "L 118.873375 140.791518 \r\n",
       "L 119.179575 139.660978 \r\n",
       "L 119.791977 150.357858 \r\n",
       "L 120.098178 147.839822 \r\n",
       "L 120.404379 147.620271 \r\n",
       "L 120.71058 147.773304 \r\n",
       "L 121.016781 145.0708 \r\n",
       "L 121.322981 146.838815 \r\n",
       "L 122.241584 147.655963 \r\n",
       "L 122.547785 148.663487 \r\n",
       "L 123.160186 147.938388 \r\n",
       "L 123.466387 148.146136 \r\n",
       "L 123.772588 145.352177 \r\n",
       "L 124.078789 148.335107 \r\n",
       "L 124.38499 149.15025 \r\n",
       "L 124.691191 150.462311 \r\n",
       "L 124.997391 152.656643 \r\n",
       "L 125.303592 150.168963 \r\n",
       "L 125.609793 153.226168 \r\n",
       "L 125.915994 151.799244 \r\n",
       "L 126.222195 153.230314 \r\n",
       "L 126.528396 152.050814 \r\n",
       "L 127.446998 144.916825 \r\n",
       "L 127.753199 148.2178 \r\n",
       "L 128.0594 146.920122 \r\n",
       "L 128.365601 152.923106 \r\n",
       "L 128.671802 152.728204 \r\n",
       "L 128.978002 154.189425 \r\n",
       "L 129.284203 158.405193 \r\n",
       "L 129.590404 157.559091 \r\n",
       "L 129.896605 163.74759 \r\n",
       "L 130.202806 160.45539 \r\n",
       "L 130.509007 161.904156 \r\n",
       "L 130.815207 162.636918 \r\n",
       "L 131.121408 161.944678 \r\n",
       "L 131.427609 163.982085 \r\n",
       "L 131.73381 165.186039 \r\n",
       "L 132.040011 163.314886 \r\n",
       "L 132.346212 162.716911 \r\n",
       "L 132.652412 163.59243 \r\n",
       "L 132.958613 161.639059 \r\n",
       "L 133.264814 163.021657 \r\n",
       "L 133.571015 163.593168 \r\n",
       "L 133.877216 163.869878 \r\n",
       "L 134.183417 163.388063 \r\n",
       "L 134.795818 172.979925 \r\n",
       "L 135.102019 171.025183 \r\n",
       "L 135.40822 171.527324 \r\n",
       "L 135.714421 166.67048 \r\n",
       "L 136.020622 164.522231 \r\n",
       "L 136.326823 167.079447 \r\n",
       "L 136.633023 168.399281 \r\n",
       "L 136.939224 170.415498 \r\n",
       "L 137.245425 167.26804 \r\n",
       "L 137.551626 166.173688 \r\n",
       "L 137.857827 163.663602 \r\n",
       "L 138.164028 167.972982 \r\n",
       "L 138.470228 166.777005 \r\n",
       "L 138.776429 167.931941 \r\n",
       "L 139.388831 173.541988 \r\n",
       "L 139.695032 174.935806 \r\n",
       "L 140.001233 175.724331 \r\n",
       "L 140.307434 174.823613 \r\n",
       "L 140.613634 169.872434 \r\n",
       "L 140.919835 171.182697 \r\n",
       "L 141.226036 171.378531 \r\n",
       "L 141.532237 167.314862 \r\n",
       "L 141.838438 171.531951 \r\n",
       "L 142.450839 171.841282 \r\n",
       "L 142.75704 169.634222 \r\n",
       "L 143.063241 170.000786 \r\n",
       "L 143.369442 168.309308 \r\n",
       "L 143.675643 172.608457 \r\n",
       "L 143.981844 172.350724 \r\n",
       "L 144.288044 167.094015 \r\n",
       "L 144.594245 168.338727 \r\n",
       "L 144.900446 166.551499 \r\n",
       "L 145.206647 169.465065 \r\n",
       "L 145.512848 170.51807 \r\n",
       "L 145.819049 170.353129 \r\n",
       "L 146.43145 164.228524 \r\n",
       "L 147.043852 174.520811 \r\n",
       "L 147.350053 180.087457 \r\n",
       "L 147.656254 181.005656 \r\n",
       "L 148.574856 175.678136 \r\n",
       "L 148.881057 174.819838 \r\n",
       "L 149.493459 177.969648 \r\n",
       "L 149.79966 178.047216 \r\n",
       "L 150.10586 176.046389 \r\n",
       "L 150.412061 179.531929 \r\n",
       "L 150.718262 180.589194 \r\n",
       "L 151.024463 180.092416 \r\n",
       "L 151.330664 183.776163 \r\n",
       "L 151.636865 185.050808 \r\n",
       "L 151.943065 182.41284 \r\n",
       "L 152.555467 186.360885 \r\n",
       "L 152.861668 182.621376 \r\n",
       "L 153.47407 190.37606 \r\n",
       "L 153.780271 187.296674 \r\n",
       "L 154.086471 190.082945 \r\n",
       "L 154.392672 191.290487 \r\n",
       "L 154.698873 190.908277 \r\n",
       "L 155.005074 193.557284 \r\n",
       "L 155.311275 191.546837 \r\n",
       "L 155.617476 192.337094 \r\n",
       "L 155.923676 187.799462 \r\n",
       "L 156.229877 186.129416 \r\n",
       "L 156.536078 186.462723 \r\n",
       "L 156.842279 184.655518 \r\n",
       "L 157.14848 187.637823 \r\n",
       "L 157.454681 196.743169 \r\n",
       "L 157.760881 196.443882 \r\n",
       "L 158.067082 200.302179 \r\n",
       "L 158.373283 199.492166 \r\n",
       "L 158.679484 194.456744 \r\n",
       "L 159.291886 192.732465 \r\n",
       "L 159.598087 192.32777 \r\n",
       "L 160.210488 189.407287 \r\n",
       "L 160.516689 190.643814 \r\n",
       "L 160.82289 190.622696 \r\n",
       "L 161.129091 193.800155 \r\n",
       "L 161.435292 195.612421 \r\n",
       "L 162.047693 196.456427 \r\n",
       "L 162.353894 196.023112 \r\n",
       "L 162.660095 196.381027 \r\n",
       "L 162.966296 194.537073 \r\n",
       "L 163.272497 193.764685 \r\n",
       "L 163.578697 196.138616 \r\n",
       "L 163.884898 193.273828 \r\n",
       "L 164.4973 196.604738 \r\n",
       "L 164.803501 196.836133 \r\n",
       "L 165.109702 203.060286 \r\n",
       "L 165.415903 201.687976 \r\n",
       "L 165.722103 202.71019 \r\n",
       "L 166.334505 195.733797 \r\n",
       "L 166.640706 198.194119 \r\n",
       "L 166.946907 195.813988 \r\n",
       "L 167.253108 197.27864 \r\n",
       "L 167.865509 200.926634 \r\n",
       "L 168.17171 204.785847 \r\n",
       "L 169.090313 200.498202 \r\n",
       "L 169.396513 194.621703 \r\n",
       "L 169.702714 199.402786 \r\n",
       "L 170.315116 201.18124 \r\n",
       "L 170.621317 206.43202 \r\n",
       "L 170.927518 203.226829 \r\n",
       "L 171.233719 205.046047 \r\n",
       "L 171.539919 204.575194 \r\n",
       "L 171.84612 200.762455 \r\n",
       "L 172.152321 200.304019 \r\n",
       "L 172.458522 199.480012 \r\n",
       "L 172.764723 199.140488 \r\n",
       "L 173.070924 202.251689 \r\n",
       "L 173.377124 203.799327 \r\n",
       "L 173.683325 204.367431 \r\n",
       "L 173.989526 205.894034 \r\n",
       "L 174.601928 204.388397 \r\n",
       "L 174.908129 200.934493 \r\n",
       "L 175.214329 203.588268 \r\n",
       "L 175.52053 204.188637 \r\n",
       "L 175.826731 208.903351 \r\n",
       "L 176.132932 211.107287 \r\n",
       "L 176.439133 205.013225 \r\n",
       "L 176.745334 204.910807 \r\n",
       "L 177.051534 201.341753 \r\n",
       "L 177.357735 196.43797 \r\n",
       "L 177.663936 202.248474 \r\n",
       "L 177.970137 202.425769 \r\n",
       "L 178.276338 204.56899 \r\n",
       "L 178.582539 209.806517 \r\n",
       "L 179.19494 202.877398 \r\n",
       "L 179.501141 204.276824 \r\n",
       "L 179.807342 202.184891 \r\n",
       "L 180.419744 208.074546 \r\n",
       "L 181.032145 208.770185 \r\n",
       "L 181.338346 204.747899 \r\n",
       "L 181.644547 207.422224 \r\n",
       "L 181.950748 204.627885 \r\n",
       "L 182.256949 207.061616 \r\n",
       "L 182.56315 208.15862 \r\n",
       "L 182.86935 202.886984 \r\n",
       "L 183.175551 207.004155 \r\n",
       "L 183.481752 203.628958 \r\n",
       "L 183.787953 203.405699 \r\n",
       "L 184.094154 202.718514 \r\n",
       "L 184.706556 202.458097 \r\n",
       "L 185.012756 202.468473 \r\n",
       "L 185.625158 205.387491 \r\n",
       "L 185.931359 203.239492 \r\n",
       "L 186.23756 204.086349 \r\n",
       "L 186.543761 209.846173 \r\n",
       "L 187.156162 207.933144 \r\n",
       "L 187.462363 209.252857 \r\n",
       "L 187.768564 204.492215 \r\n",
       "L 188.074765 203.936422 \r\n",
       "L 188.380966 207.295127 \r\n",
       "L 188.687166 207.591982 \r\n",
       "L 188.993367 209.871606 \r\n",
       "L 189.91197 204.057603 \r\n",
       "L 190.218171 202.117503 \r\n",
       "L 190.524372 203.908589 \r\n",
       "L 190.830572 204.138816 \r\n",
       "L 191.136773 202.796669 \r\n",
       "L 191.442974 207.003582 \r\n",
       "L 191.749175 207.833403 \r\n",
       "L 192.055376 206.49418 \r\n",
       "L 192.361577 203.880896 \r\n",
       "L 192.667777 204.716047 \r\n",
       "L 192.973978 203.035499 \r\n",
       "L 193.280179 202.993574 \r\n",
       "L 193.58638 209.020712 \r\n",
       "L 193.892581 208.702172 \r\n",
       "L 194.198782 205.316424 \r\n",
       "L 194.504982 208.370876 \r\n",
       "L 194.811183 203.453034 \r\n",
       "L 195.117384 201.721312 \r\n",
       "L 195.729786 205.410985 \r\n",
       "L 196.035987 206.481728 \r\n",
       "L 196.342187 208.080151 \r\n",
       "L 196.648388 204.766262 \r\n",
       "L 196.954589 209.929236 \r\n",
       "L 197.26079 209.078603 \r\n",
       "L 197.566991 204.164956 \r\n",
       "L 197.873192 204.863403 \r\n",
       "L 198.179393 199.273181 \r\n",
       "L 198.485593 199.697964 \r\n",
       "L 198.791794 199.539627 \r\n",
       "L 199.097995 201.426459 \r\n",
       "L 199.404196 204.666343 \r\n",
       "L 199.710397 200.732629 \r\n",
       "L 200.016598 198.987541 \r\n",
       "L 200.322798 202.453211 \r\n",
       "L 200.628999 202.751254 \r\n",
       "L 200.9352 203.252579 \r\n",
       "L 201.241401 205.74539 \r\n",
       "L 201.547602 202.590155 \r\n",
       "L 202.160003 202.438393 \r\n",
       "L 202.466204 204.040767 \r\n",
       "L 202.772405 203.550674 \r\n",
       "L 203.078606 204.290196 \r\n",
       "L 203.384807 202.664981 \r\n",
       "L 203.691008 202.027751 \r\n",
       "L 203.997209 202.602535 \r\n",
       "L 204.60961 201.228514 \r\n",
       "L 204.915811 202.60272 \r\n",
       "L 205.222012 203.235377 \r\n",
       "L 205.528213 202.621972 \r\n",
       "L 205.834414 203.155929 \r\n",
       "L 206.140614 202.008885 \r\n",
       "L 206.753016 198.978486 \r\n",
       "L 207.059217 198.187917 \r\n",
       "L 207.671619 194.983104 \r\n",
       "L 207.977819 196.028483 \r\n",
       "L 208.28402 195.665528 \r\n",
       "L 208.590221 198.471049 \r\n",
       "L 208.896422 197.818528 \r\n",
       "L 209.202623 201.386274 \r\n",
       "L 209.508824 201.130688 \r\n",
       "L 209.815025 203.005352 \r\n",
       "L 210.121225 202.965499 \r\n",
       "L 210.427426 197.502415 \r\n",
       "L 211.039828 193.921939 \r\n",
       "L 211.346029 197.132648 \r\n",
       "L 211.65223 198.190624 \r\n",
       "L 211.95843 198.385964 \r\n",
       "L 212.264631 199.251162 \r\n",
       "L 212.570832 197.402919 \r\n",
       "L 212.877033 199.72156 \r\n",
       "L 213.489435 195.107374 \r\n",
       "L 213.795635 193.076367 \r\n",
       "L 214.101836 188.768588 \r\n",
       "L 214.408037 186.877256 \r\n",
       "L 214.714238 190.687392 \r\n",
       "L 215.020439 187.971455 \r\n",
       "L 215.32664 194.390903 \r\n",
       "L 215.632841 195.734736 \r\n",
       "L 215.939041 193.641712 \r\n",
       "L 216.245242 194.889229 \r\n",
       "L 216.551443 193.891105 \r\n",
       "L 216.857644 195.183841 \r\n",
       "L 217.163845 195.584349 \r\n",
       "L 217.470046 189.576141 \r\n",
       "L 217.776246 186.148629 \r\n",
       "L 218.082447 185.292363 \r\n",
       "L 218.388648 187.103196 \r\n",
       "L 219.00105 193.123363 \r\n",
       "L 219.613451 181.123509 \r\n",
       "L 220.225853 175.14455 \r\n",
       "L 220.532054 184.115434 \r\n",
       "L 221.144456 189.699934 \r\n",
       "L 221.450656 195.734578 \r\n",
       "L 221.756857 192.205342 \r\n",
       "L 222.063058 192.376402 \r\n",
       "L 222.981661 180.511178 \r\n",
       "L 223.287862 186.311553 \r\n",
       "L 223.594062 183.982875 \r\n",
       "L 223.900263 184.787494 \r\n",
       "L 224.206464 183.500904 \r\n",
       "L 224.512665 178.521706 \r\n",
       "L 224.818866 180.445429 \r\n",
       "L 225.125067 177.598594 \r\n",
       "L 225.431267 176.863411 \r\n",
       "L 225.737468 180.355413 \r\n",
       "L 226.043669 181.439015 \r\n",
       "L 226.34987 184.64735 \r\n",
       "L 226.656071 185.557226 \r\n",
       "L 226.962272 181.572322 \r\n",
       "L 227.268472 183.856148 \r\n",
       "L 227.880874 178.650383 \r\n",
       "L 228.187075 181.064159 \r\n",
       "L 228.799477 177.094499 \r\n",
       "L 229.105678 178.214813 \r\n",
       "L 229.411878 176.972076 \r\n",
       "L 229.718079 172.955891 \r\n",
       "L 230.02428 173.5564 \r\n",
       "L 230.330481 175.338469 \r\n",
       "L 230.636682 175.443873 \r\n",
       "L 230.942883 181.139119 \r\n",
       "L 231.249083 181.872091 \r\n",
       "L 231.555284 181.669936 \r\n",
       "L 231.861485 177.168853 \r\n",
       "L 232.167686 176.29399 \r\n",
       "L 232.473887 177.933426 \r\n",
       "L 232.780088 177.656132 \r\n",
       "L 233.086288 179.027675 \r\n",
       "L 233.392489 177.414542 \r\n",
       "L 233.69869 172.311464 \r\n",
       "L 234.004891 170.39818 \r\n",
       "L 234.311092 172.33609 \r\n",
       "L 234.617293 168.019123 \r\n",
       "L 234.923494 171.228033 \r\n",
       "L 235.229694 172.207343 \r\n",
       "L 235.535895 167.728645 \r\n",
       "L 236.148297 179.848751 \r\n",
       "L 236.454498 177.34561 \r\n",
       "L 236.760699 177.467956 \r\n",
       "L 237.066899 171.793429 \r\n",
       "L 237.679301 166.22956 \r\n",
       "L 237.985502 166.64246 \r\n",
       "L 238.291703 163.724709 \r\n",
       "L 238.597904 166.6057 \r\n",
       "L 238.904104 160.561838 \r\n",
       "L 239.516506 165.594342 \r\n",
       "L 239.822707 164.103256 \r\n",
       "L 240.435109 170.112979 \r\n",
       "L 240.74131 167.966338 \r\n",
       "L 241.04751 163.827611 \r\n",
       "L 241.353711 165.402482 \r\n",
       "L 241.659912 160.30442 \r\n",
       "L 242.272314 156.98876 \r\n",
       "L 242.578515 154.504087 \r\n",
       "L 242.884715 157.653878 \r\n",
       "L 243.190916 155.042633 \r\n",
       "L 243.497117 156.37682 \r\n",
       "L 244.109519 150.042706 \r\n",
       "L 244.41572 155.242647 \r\n",
       "L 244.72192 157.800918 \r\n",
       "L 245.028121 157.254513 \r\n",
       "L 245.334322 157.971943 \r\n",
       "L 245.640523 155.622059 \r\n",
       "L 246.252925 154.260016 \r\n",
       "L 246.559125 152.239379 \r\n",
       "L 246.865326 154.230848 \r\n",
       "L 247.171527 152.984184 \r\n",
       "L 247.477728 156.070724 \r\n",
       "L 247.783929 157.088475 \r\n",
       "L 248.09013 153.831047 \r\n",
       "L 248.396331 156.891163 \r\n",
       "L 248.702531 157.73158 \r\n",
       "L 249.008732 155.871948 \r\n",
       "L 249.314933 155.098643 \r\n",
       "L 249.927335 147.147472 \r\n",
       "L 250.233536 146.197802 \r\n",
       "L 250.539736 146.855699 \r\n",
       "L 250.845937 146.593019 \r\n",
       "L 251.152138 146.786879 \r\n",
       "L 251.458339 149.718426 \r\n",
       "L 251.76454 148.850125 \r\n",
       "L 252.376941 153.057123 \r\n",
       "L 252.683142 153.778534 \r\n",
       "L 252.989343 153.873106 \r\n",
       "L 253.295544 157.482004 \r\n",
       "L 253.601745 156.638248 \r\n",
       "L 253.907946 151.70839 \r\n",
       "L 254.214147 151.590212 \r\n",
       "L 254.520347 147.211714 \r\n",
       "L 254.826548 147.225607 \r\n",
       "L 255.132749 150.712517 \r\n",
       "L 255.43895 149.222228 \r\n",
       "L 255.745151 149.983676 \r\n",
       "L 256.051352 147.389799 \r\n",
       "L 256.357552 146.898086 \r\n",
       "L 256.663753 150.227637 \r\n",
       "L 256.969954 148.932412 \r\n",
       "L 257.276155 146.469684 \r\n",
       "L 257.582356 146.308737 \r\n",
       "L 257.888557 144.889492 \r\n",
       "L 258.194757 145.22149 \r\n",
       "L 258.500958 146.849291 \r\n",
       "L 258.807159 151.206231 \r\n",
       "L 259.11336 151.656218 \r\n",
       "L 259.725762 150.320905 \r\n",
       "L 260.031963 145.570017 \r\n",
       "L 260.338163 144.274027 \r\n",
       "L 260.644364 145.099964 \r\n",
       "L 260.950565 140.144094 \r\n",
       "L 261.256766 137.059059 \r\n",
       "L 261.562967 135.368066 \r\n",
       "L 261.869168 132.781855 \r\n",
       "L 263.093971 141.248817 \r\n",
       "L 263.400172 145.118183 \r\n",
       "L 264.012573 140.255094 \r\n",
       "L 264.318774 139.583079 \r\n",
       "L 264.624975 137.641997 \r\n",
       "L 265.237377 135.004364 \r\n",
       "L 265.543578 131.826386 \r\n",
       "L 265.849779 130.503325 \r\n",
       "L 266.155979 131.915329 \r\n",
       "L 266.46218 129.847193 \r\n",
       "L 267.686984 143.572621 \r\n",
       "L 267.993184 140.235293 \r\n",
       "L 268.299385 134.741008 \r\n",
       "L 268.605586 131.929091 \r\n",
       "L 268.911787 130.482434 \r\n",
       "L 269.217988 135.436326 \r\n",
       "L 269.524189 135.747963 \r\n",
       "L 269.830389 135.576462 \r\n",
       "L 270.13659 133.754322 \r\n",
       "L 270.442791 129.209627 \r\n",
       "L 270.748992 130.074131 \r\n",
       "L 271.055193 130.475149 \r\n",
       "L 271.361394 130.295346 \r\n",
       "L 271.667594 127.626549 \r\n",
       "L 271.973795 127.45866 \r\n",
       "L 272.279996 129.884549 \r\n",
       "L 272.586197 129.664362 \r\n",
       "L 273.198599 135.915219 \r\n",
       "L 273.5048 133.208341 \r\n",
       "L 273.811 132.465592 \r\n",
       "L 274.117201 132.130917 \r\n",
       "L 275.342005 141.717176 \r\n",
       "L 275.648205 138.0913 \r\n",
       "L 275.954406 133.002957 \r\n",
       "L 276.260607 130.687974 \r\n",
       "L 276.566808 124.843745 \r\n",
       "L 276.873009 124.19151 \r\n",
       "L 277.17921 125.181067 \r\n",
       "L 277.48541 127.081357 \r\n",
       "L 277.791611 130.254329 \r\n",
       "L 278.097812 130.190025 \r\n",
       "L 278.710214 132.867153 \r\n",
       "L 279.016415 130.793412 \r\n",
       "L 279.322616 130.129033 \r\n",
       "L 279.628816 129.17523 \r\n",
       "L 279.935017 125.933183 \r\n",
       "L 280.241218 129.808527 \r\n",
       "L 280.547419 129.223155 \r\n",
       "L 280.85362 129.784599 \r\n",
       "L 281.159821 130.049514 \r\n",
       "L 281.466021 128.096804 \r\n",
       "L 282.384624 133.419506 \r\n",
       "L 282.690825 131.495876 \r\n",
       "L 282.997026 127.14662 \r\n",
       "L 283.303226 129.696685 \r\n",
       "L 283.609427 125.451765 \r\n",
       "L 283.915628 125.944207 \r\n",
       "L 284.221829 126.021405 \r\n",
       "L 284.52803 124.028407 \r\n",
       "L 284.834231 129.587355 \r\n",
       "L 285.446632 134.28183 \r\n",
       "L 286.059034 131.540633 \r\n",
       "L 286.671436 127.2384 \r\n",
       "L 286.977637 128.710698 \r\n",
       "L 287.283837 126.271264 \r\n",
       "L 287.590038 131.251488 \r\n",
       "L 287.896239 130.479349 \r\n",
       "L 288.20244 126.346783 \r\n",
       "L 288.508641 128.954796 \r\n",
       "L 288.814842 125.425846 \r\n",
       "L 289.121042 124.871582 \r\n",
       "L 289.427243 132.135672 \r\n",
       "L 289.733444 129.814792 \r\n",
       "L 290.039645 130.411653 \r\n",
       "L 290.345846 131.997572 \r\n",
       "L 290.652047 128.01692 \r\n",
       "L 291.570649 137.936952 \r\n",
       "L 291.87685 133.961804 \r\n",
       "L 292.795453 127.772445 \r\n",
       "L 293.101653 132.900092 \r\n",
       "L 293.407854 133.083587 \r\n",
       "L 293.714055 131.11101 \r\n",
       "L 294.020256 130.670484 \r\n",
       "L 294.326457 127.855561 \r\n",
       "L 294.632658 128.734374 \r\n",
       "L 294.938858 133.576238 \r\n",
       "L 295.245059 132.142779 \r\n",
       "L 295.55126 136.207323 \r\n",
       "L 295.857461 132.787942 \r\n",
       "L 296.163662 126.89601 \r\n",
       "L 296.469863 134.098517 \r\n",
       "L 296.776063 130.769645 \r\n",
       "L 297.082264 132.641686 \r\n",
       "L 297.388465 131.42326 \r\n",
       "L 297.694666 126.074059 \r\n",
       "L 298.000867 126.211352 \r\n",
       "L 298.307068 133.775738 \r\n",
       "L 298.613269 135.161814 \r\n",
       "L 298.919469 135.946758 \r\n",
       "L 299.22567 133.873258 \r\n",
       "L 299.531871 125.771789 \r\n",
       "L 299.838072 126.056722 \r\n",
       "L 300.144273 128.550346 \r\n",
       "L 300.450474 134.424038 \r\n",
       "L 300.756674 134.308508 \r\n",
       "L 301.062875 134.564758 \r\n",
       "L 301.369076 130.312723 \r\n",
       "L 301.675277 129.711302 \r\n",
       "L 301.981478 131.243591 \r\n",
       "L 302.287679 131.571577 \r\n",
       "L 302.593879 130.311521 \r\n",
       "L 302.90008 132.317653 \r\n",
       "L 303.512482 138.841459 \r\n",
       "L 303.818683 141.927896 \r\n",
       "L 304.124884 140.323402 \r\n",
       "L 304.431085 137.331757 \r\n",
       "L 305.043486 129.338012 \r\n",
       "L 305.349687 126.816847 \r\n",
       "L 305.655888 128.638373 \r\n",
       "L 306.26829 139.873418 \r\n",
       "L 306.57449 142.334862 \r\n",
       "L 306.880691 146.007556 \r\n",
       "L 307.186892 143.026399 \r\n",
       "L 307.493093 143.015611 \r\n",
       "L 307.799294 142.606397 \r\n",
       "L 308.105495 138.419917 \r\n",
       "L 308.411695 142.349065 \r\n",
       "L 308.717896 141.837868 \r\n",
       "L 309.024097 140.608999 \r\n",
       "L 309.330298 140.666098 \r\n",
       "L 309.636499 137.883001 \r\n",
       "L 309.9427 139.379025 \r\n",
       "L 310.248901 139.863728 \r\n",
       "L 310.555101 138.940747 \r\n",
       "L 310.861302 142.410494 \r\n",
       "L 311.167503 142.275073 \r\n",
       "L 311.473704 140.383957 \r\n",
       "L 311.779905 142.849388 \r\n",
       "L 312.086106 140.279027 \r\n",
       "L 312.392306 139.433005 \r\n",
       "L 312.698507 143.106593 \r\n",
       "L 313.004708 141.619727 \r\n",
       "L 313.310909 144.428164 \r\n",
       "L 313.61711 145.621419 \r\n",
       "L 313.923311 147.58915 \r\n",
       "L 314.229511 147.396951 \r\n",
       "L 314.535712 144.017156 \r\n",
       "L 314.841913 145.609141 \r\n",
       "L 315.148114 143.249556 \r\n",
       "L 315.760516 152.614352 \r\n",
       "L 316.066716 152.486886 \r\n",
       "L 316.372917 151.174658 \r\n",
       "L 316.679118 142.543029 \r\n",
       "L 316.985319 143.419714 \r\n",
       "L 317.29152 150.48426 \r\n",
       "L 317.903922 155.050506 \r\n",
       "L 318.210122 154.005649 \r\n",
       "L 318.516323 150.766505 \r\n",
       "L 318.822524 150.687134 \r\n",
       "L 319.128725 153.090851 \r\n",
       "L 319.434926 151.040492 \r\n",
       "L 319.741127 150.60456 \r\n",
       "L 320.047327 151.831154 \r\n",
       "L 320.353528 148.26861 \r\n",
       "L 320.659729 149.039532 \r\n",
       "L 320.96593 148.932542 \r\n",
       "L 321.578332 158.364236 \r\n",
       "L 321.884532 159.31066 \r\n",
       "L 322.190733 163.583526 \r\n",
       "L 322.496934 160.764592 \r\n",
       "L 322.803135 160.751189 \r\n",
       "L 323.109336 161.746854 \r\n",
       "L 323.415537 160.72595 \r\n",
       "L 323.721738 162.877946 \r\n",
       "L 324.027938 162.367623 \r\n",
       "L 324.334139 159.146718 \r\n",
       "L 324.64034 164.480757 \r\n",
       "L 324.946541 164.875893 \r\n",
       "L 325.252742 161.639956 \r\n",
       "L 325.558943 161.886395 \r\n",
       "L 326.171344 157.634032 \r\n",
       "L 326.477545 161.895119 \r\n",
       "L 326.783746 162.582632 \r\n",
       "L 327.089947 164.44776 \r\n",
       "L 327.396148 167.411128 \r\n",
       "L 327.702348 167.706046 \r\n",
       "L 328.008549 167.373225 \r\n",
       "L 328.31475 166.787965 \r\n",
       "L 328.620951 165.95827 \r\n",
       "L 328.927152 168.455208 \r\n",
       "L 329.233353 164.19465 \r\n",
       "L 329.539554 162.963026 \r\n",
       "L 330.458156 169.352285 \r\n",
       "L 330.764357 167.843903 \r\n",
       "L 331.070558 165.267344 \r\n",
       "L 331.376759 164.660223 \r\n",
       "L 331.98916 171.514766 \r\n",
       "L 332.295361 168.987957 \r\n",
       "L 332.601562 171.555374 \r\n",
       "L 332.907763 165.016118 \r\n",
       "L 333.520164 172.872641 \r\n",
       "L 333.826365 170.618425 \r\n",
       "L 334.132566 172.112869 \r\n",
       "L 334.438767 172.187267 \r\n",
       "L 334.744968 170.625393 \r\n",
       "L 335.051169 171.055248 \r\n",
       "L 335.35737 170.755409 \r\n",
       "L 335.66357 166.317354 \r\n",
       "L 336.888374 179.491217 \r\n",
       "L 337.194575 177.274999 \r\n",
       "L 337.806976 175.72919 \r\n",
       "L 338.113177 173.698093 \r\n",
       "L 338.419378 173.900679 \r\n",
       "L 339.03178 180.653161 \r\n",
       "L 339.33798 179.099588 \r\n",
       "L 339.644181 181.518959 \r\n",
       "L 339.950382 177.732706 \r\n",
       "L 339.950382 177.732706 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_14\">\r\n",
       "    <path clip-path=\"url(#p04d49646fa)\" d=\"M 45.385173 162.997622 \r\n",
       "L 45.691374 170.98435 \r\n",
       "L 45.997574 173.719103 \r\n",
       "L 46.303775 172.496255 \r\n",
       "L 46.916177 165.94861 \r\n",
       "L 47.222378 163.724498 \r\n",
       "L 47.528579 159.91466 \r\n",
       "L 47.834779 166.627925 \r\n",
       "L 48.14098 168.812745 \r\n",
       "L 48.447181 162.747369 \r\n",
       "L 48.753382 164.510925 \r\n",
       "L 49.059583 165.205649 \r\n",
       "L 49.671984 165.869796 \r\n",
       "L 49.978185 168.632934 \r\n",
       "L 50.284386 162.519464 \r\n",
       "L 50.590587 167.527159 \r\n",
       "L 51.202989 161.016593 \r\n",
       "L 51.50919 161.215927 \r\n",
       "L 51.81539 160.245671 \r\n",
       "L 52.121591 158.161 \r\n",
       "L 52.427792 159.569395 \r\n",
       "L 52.733993 152.391377 \r\n",
       "L 53.040194 150.591677 \r\n",
       "L 53.652595 145.865252 \r\n",
       "L 53.958796 146.327996 \r\n",
       "L 54.571198 157.019101 \r\n",
       "L 54.877399 157.614378 \r\n",
       "L 55.1836 156.35254 \r\n",
       "L 55.4898 157.806924 \r\n",
       "L 55.796001 155.567616 \r\n",
       "L 56.102202 152.048764 \r\n",
       "L 56.408403 152.709857 \r\n",
       "L 56.714604 152.769665 \r\n",
       "L 57.020805 150.566756 \r\n",
       "L 57.327005 152.590643 \r\n",
       "L 57.633206 148.269829 \r\n",
       "L 57.939407 146.284484 \r\n",
       "L 58.245608 141.778906 \r\n",
       "L 58.85801 148.594951 \r\n",
       "L 59.164211 154.750114 \r\n",
       "L 59.776612 139.23734 \r\n",
       "L 60.082813 139.728049 \r\n",
       "L 60.389014 141.086328 \r\n",
       "L 60.695215 144.253418 \r\n",
       "L 61.001416 141.840007 \r\n",
       "L 61.307616 133.991278 \r\n",
       "L 61.613817 135.131685 \r\n",
       "L 61.920018 132.432332 \r\n",
       "L 62.53242 139.487086 \r\n",
       "L 62.838621 139.118999 \r\n",
       "L 63.144821 142.701761 \r\n",
       "L 63.451022 149.153968 \r\n",
       "L 63.757223 143.789092 \r\n",
       "L 64.063424 144.528747 \r\n",
       "L 64.369625 137.968707 \r\n",
       "L 64.675826 135.102635 \r\n",
       "L 64.982027 142.125402 \r\n",
       "L 65.288227 141.873181 \r\n",
       "L 65.594428 140.999535 \r\n",
       "L 65.900629 140.639619 \r\n",
       "L 66.20683 140.632675 \r\n",
       "L 66.513031 138.671314 \r\n",
       "L 66.819232 138.377656 \r\n",
       "L 67.125432 140.735198 \r\n",
       "L 67.737834 143.600812 \r\n",
       "L 68.044035 147.143981 \r\n",
       "L 68.350236 147.028157 \r\n",
       "L 68.962637 131.766335 \r\n",
       "L 69.268838 127.153041 \r\n",
       "L 69.575039 129.290083 \r\n",
       "L 69.88124 127.850385 \r\n",
       "L 70.187441 131.072197 \r\n",
       "L 70.493642 131.456194 \r\n",
       "L 70.799843 128.541759 \r\n",
       "L 71.106043 127.527771 \r\n",
       "L 71.412244 127.045277 \r\n",
       "L 71.718445 129.139028 \r\n",
       "L 72.024646 129.796101 \r\n",
       "L 72.330847 125.630826 \r\n",
       "L 72.637048 130.950345 \r\n",
       "L 72.943248 129.664783 \r\n",
       "L 73.249449 134.913641 \r\n",
       "L 73.55565 137.359594 \r\n",
       "L 74.168052 129.91807 \r\n",
       "L 74.474253 128.973782 \r\n",
       "L 74.780453 129.412715 \r\n",
       "L 75.086654 131.56509 \r\n",
       "L 75.392855 132.114222 \r\n",
       "L 75.699056 132.3983 \r\n",
       "L 76.005257 135.375528 \r\n",
       "L 76.311458 131.761033 \r\n",
       "L 76.617659 122.968888 \r\n",
       "L 76.923859 117.672841 \r\n",
       "L 77.23006 118.769042 \r\n",
       "L 77.842462 129.796162 \r\n",
       "L 78.761064 133.855346 \r\n",
       "L 79.067265 132.90972 \r\n",
       "L 79.373466 132.985399 \r\n",
       "L 79.679667 129.510912 \r\n",
       "L 79.985868 127.320162 \r\n",
       "L 80.292069 120.628831 \r\n",
       "L 80.598269 121.814357 \r\n",
       "L 80.90447 126.244109 \r\n",
       "L 81.210671 127.653262 \r\n",
       "L 81.516872 135.860816 \r\n",
       "L 81.823073 131.936619 \r\n",
       "L 82.129274 124.13486 \r\n",
       "L 82.435474 124.88265 \r\n",
       "L 82.741675 126.021679 \r\n",
       "L 83.047876 124.997277 \r\n",
       "L 83.354077 128.583454 \r\n",
       "L 83.966479 120.354025 \r\n",
       "L 84.27268 121.075028 \r\n",
       "L 84.57888 120.178617 \r\n",
       "L 84.885081 120.101454 \r\n",
       "L 85.191282 119.772323 \r\n",
       "L 85.497483 116.690958 \r\n",
       "L 86.109885 130.623848 \r\n",
       "L 86.416085 130.62633 \r\n",
       "L 86.722286 131.104069 \r\n",
       "L 87.028487 136.743276 \r\n",
       "L 87.334688 132.665882 \r\n",
       "L 87.640889 131.367877 \r\n",
       "L 88.25329 125.548751 \r\n",
       "L 88.865692 127.036235 \r\n",
       "L 89.171893 125.934493 \r\n",
       "L 89.478094 123.761054 \r\n",
       "L 89.784295 122.650409 \r\n",
       "L 90.090496 122.898428 \r\n",
       "L 90.396696 123.762043 \r\n",
       "L 90.702897 121.530336 \r\n",
       "L 91.009098 123.420525 \r\n",
       "L 91.315299 121.156373 \r\n",
       "L 91.6215 122.202741 \r\n",
       "L 91.927701 124.785902 \r\n",
       "L 92.233901 123.719338 \r\n",
       "L 92.846303 119.498003 \r\n",
       "L 93.152504 118.325445 \r\n",
       "L 93.458705 128.925462 \r\n",
       "L 93.764906 123.721381 \r\n",
       "L 94.071106 122.081189 \r\n",
       "L 94.377307 122.724448 \r\n",
       "L 94.683508 119.778757 \r\n",
       "L 94.989709 126.616405 \r\n",
       "L 95.29591 125.262048 \r\n",
       "L 95.908312 131.081803 \r\n",
       "L 96.214512 129.851996 \r\n",
       "L 96.826914 132.41795 \r\n",
       "L 97.133115 133.826513 \r\n",
       "L 97.745517 123.294669 \r\n",
       "L 98.051717 122.129991 \r\n",
       "L 98.357918 119.647947 \r\n",
       "L 98.664119 124.676182 \r\n",
       "L 98.97032 118.654489 \r\n",
       "L 99.276521 122.72624 \r\n",
       "L 99.582722 122.309672 \r\n",
       "L 99.888922 124.516922 \r\n",
       "L 100.195123 125.151998 \r\n",
       "L 100.501324 126.22921 \r\n",
       "L 100.807525 128.013154 \r\n",
       "L 101.113726 125.674625 \r\n",
       "L 101.419927 124.405132 \r\n",
       "L 102.032328 115.023871 \r\n",
       "L 102.338529 113.055208 \r\n",
       "L 102.64473 112.585101 \r\n",
       "L 102.950931 115.16919 \r\n",
       "L 103.257132 113.728442 \r\n",
       "L 103.563333 119.962474 \r\n",
       "L 103.869533 118.331536 \r\n",
       "L 104.175734 117.913302 \r\n",
       "L 104.481935 115.38916 \r\n",
       "L 104.788136 116.021807 \r\n",
       "L 105.094337 122.130932 \r\n",
       "L 105.400538 122.983878 \r\n",
       "L 105.706738 120.894479 \r\n",
       "L 106.625341 133.617451 \r\n",
       "L 106.931542 130.910178 \r\n",
       "L 107.543943 120.507071 \r\n",
       "L 108.462546 130.449898 \r\n",
       "L 108.768747 138.547712 \r\n",
       "L 109.074948 136.034391 \r\n",
       "L 109.381149 137.430622 \r\n",
       "L 109.687349 134.48743 \r\n",
       "L 109.99355 127.901499 \r\n",
       "L 110.299751 130.773801 \r\n",
       "L 110.605952 127.841578 \r\n",
       "L 111.218354 132.738381 \r\n",
       "L 111.524554 127.1024 \r\n",
       "L 112.136956 135.656574 \r\n",
       "L 112.443157 131.681093 \r\n",
       "L 112.749358 132.722971 \r\n",
       "L 113.055559 134.310001 \r\n",
       "L 113.361759 131.155499 \r\n",
       "L 113.66796 131.849138 \r\n",
       "L 113.974161 136.356894 \r\n",
       "L 114.280362 135.758771 \r\n",
       "L 114.586563 131.035296 \r\n",
       "L 114.892764 130.199692 \r\n",
       "L 115.198965 132.223812 \r\n",
       "L 115.811366 139.905516 \r\n",
       "L 116.117567 141.647137 \r\n",
       "L 116.423768 139.430039 \r\n",
       "L 117.03617 129.676267 \r\n",
       "L 117.34237 128.016773 \r\n",
       "L 117.954772 132.931526 \r\n",
       "L 118.567174 134.93879 \r\n",
       "L 118.873375 138.05561 \r\n",
       "L 119.179575 142.444877 \r\n",
       "L 119.791977 132.650385 \r\n",
       "L 120.404379 139.035443 \r\n",
       "L 121.016781 147.440837 \r\n",
       "L 121.322981 144.3133 \r\n",
       "L 121.935383 143.085886 \r\n",
       "L 122.241584 141.900119 \r\n",
       "L 122.547785 143.657525 \r\n",
       "L 123.160186 144.083902 \r\n",
       "L 123.466387 143.86683 \r\n",
       "L 123.772588 146.477259 \r\n",
       "L 124.38499 143.946952 \r\n",
       "L 124.691191 143.761101 \r\n",
       "L 124.997391 141.765434 \r\n",
       "L 125.303592 146.514646 \r\n",
       "L 125.609793 146.595353 \r\n",
       "L 125.915994 148.551001 \r\n",
       "L 126.222195 149.343097 \r\n",
       "L 126.528396 147.206523 \r\n",
       "L 126.834596 151.473939 \r\n",
       "L 127.140797 148.917095 \r\n",
       "L 127.446998 151.632422 \r\n",
       "L 127.753199 146.816358 \r\n",
       "L 128.0594 147.300356 \r\n",
       "L 128.365601 141.639685 \r\n",
       "L 128.671802 141.606253 \r\n",
       "L 128.978002 145.176798 \r\n",
       "L 129.284203 146.12114 \r\n",
       "L 129.590404 151.348203 \r\n",
       "L 129.896605 149.625934 \r\n",
       "L 130.202806 152.941407 \r\n",
       "L 130.509007 158.657371 \r\n",
       "L 130.815207 156.950798 \r\n",
       "L 131.121408 162.8659 \r\n",
       "L 131.427609 158.047577 \r\n",
       "L 131.73381 161.218024 \r\n",
       "L 132.346212 162.040122 \r\n",
       "L 132.652412 161.981745 \r\n",
       "L 132.958613 166.039841 \r\n",
       "L 133.571015 159.964816 \r\n",
       "L 133.877216 161.723606 \r\n",
       "L 134.183417 162.441664 \r\n",
       "L 134.489618 162.300608 \r\n",
       "L 134.795818 161.008619 \r\n",
       "L 135.102019 164.559526 \r\n",
       "L 135.40822 163.569702 \r\n",
       "L 135.714421 170.792512 \r\n",
       "L 136.020622 173.761034 \r\n",
       "L 136.326823 170.700152 \r\n",
       "L 136.633023 170.053763 \r\n",
       "L 136.939224 165.174389 \r\n",
       "L 137.245425 163.948131 \r\n",
       "L 137.551626 168.223975 \r\n",
       "L 137.857827 170.499139 \r\n",
       "L 138.164028 170.384456 \r\n",
       "L 138.470228 164.306547 \r\n",
       "L 138.776429 164.602616 \r\n",
       "L 139.08263 163.16004 \r\n",
       "L 139.388831 168.975217 \r\n",
       "L 139.695032 167.233236 \r\n",
       "L 140.001233 167.157023 \r\n",
       "L 140.613634 176.216343 \r\n",
       "L 141.226036 173.836637 \r\n",
       "L 141.532237 175.114089 \r\n",
       "L 141.838438 170.847083 \r\n",
       "L 142.144639 169.883178 \r\n",
       "L 142.450839 169.765593 \r\n",
       "L 142.75704 169.123333 \r\n",
       "L 143.063241 172.919371 \r\n",
       "L 143.675643 170.996286 \r\n",
       "L 143.981844 167.665416 \r\n",
       "L 144.288044 170.930918 \r\n",
       "L 144.594245 170.488664 \r\n",
       "L 144.900446 172.802302 \r\n",
       "L 145.206647 172.028621 \r\n",
       "L 145.512848 164.909187 \r\n",
       "L 145.819049 167.57917 \r\n",
       "L 146.12525 166.605696 \r\n",
       "L 146.43145 171.605237 \r\n",
       "L 146.737651 171.099564 \r\n",
       "L 147.043852 169.016633 \r\n",
       "L 147.350053 163.868208 \r\n",
       "L 147.656254 163.543014 \r\n",
       "L 147.962455 172.666134 \r\n",
       "L 148.574856 182.170008 \r\n",
       "L 149.79966 175.808713 \r\n",
       "L 150.10586 174.663939 \r\n",
       "L 150.718262 178.918622 \r\n",
       "L 151.024463 178.961523 \r\n",
       "L 151.330664 174.767755 \r\n",
       "L 151.943065 182.727047 \r\n",
       "L 152.249266 181.25605 \r\n",
       "L 152.555467 182.744314 \r\n",
       "L 152.861668 186.048126 \r\n",
       "L 153.167869 183.489618 \r\n",
       "L 153.47407 184.463256 \r\n",
       "L 153.780271 186.700136 \r\n",
       "L 154.086471 183.138351 \r\n",
       "L 154.698873 192.01033 \r\n",
       "L 155.005074 188.63196 \r\n",
       "L 155.311275 189.107789 \r\n",
       "L 155.617476 191.739059 \r\n",
       "L 156.229877 194.627538 \r\n",
       "L 156.536078 190.812642 \r\n",
       "L 156.842279 192.35972 \r\n",
       "L 157.14848 187.357666 \r\n",
       "L 157.454681 185.684462 \r\n",
       "L 157.760881 186.179994 \r\n",
       "L 158.067082 185.65468 \r\n",
       "L 158.373283 188.613466 \r\n",
       "L 158.679484 199.564928 \r\n",
       "L 158.985685 199.136123 \r\n",
       "L 159.291886 201.101831 \r\n",
       "L 159.598087 198.258967 \r\n",
       "L 159.904287 194.346983 \r\n",
       "L 160.210488 193.010263 \r\n",
       "L 160.516689 193.322684 \r\n",
       "L 160.82289 193.1348 \r\n",
       "L 161.435292 188.660454 \r\n",
       "L 161.741492 191.275052 \r\n",
       "L 162.047693 192.196512 \r\n",
       "L 162.353894 195.291208 \r\n",
       "L 162.966296 196.962874 \r\n",
       "L 163.272497 196.901337 \r\n",
       "L 163.578697 196.48598 \r\n",
       "L 163.884898 196.88247 \r\n",
       "L 164.191099 194.744105 \r\n",
       "L 164.4973 193.664451 \r\n",
       "L 164.803501 197.077931 \r\n",
       "L 165.109702 194.180665 \r\n",
       "L 166.028304 198.719698 \r\n",
       "L 166.334505 205.291106 \r\n",
       "L 166.640706 202.838363 \r\n",
       "L 166.946907 202.748217 \r\n",
       "L 167.253108 198.144127 \r\n",
       "L 167.559308 195.63696 \r\n",
       "L 167.865509 198.996624 \r\n",
       "L 168.17171 197.143256 \r\n",
       "L 168.477911 197.691893 \r\n",
       "L 168.784112 199.831467 \r\n",
       "L 169.396513 207.048266 \r\n",
       "L 170.008915 201.488625 \r\n",
       "L 170.315116 200.125661 \r\n",
       "L 170.621317 194.542066 \r\n",
       "L 170.927518 200.24479 \r\n",
       "L 171.233719 202.483903 \r\n",
       "L 171.539919 203.326328 \r\n",
       "L 171.84612 206.983416 \r\n",
       "L 172.152321 203.75745 \r\n",
       "L 172.458522 205.910317 \r\n",
       "L 172.764723 205.085664 \r\n",
       "L 173.070924 200.937795 \r\n",
       "L 173.377124 199.354783 \r\n",
       "L 173.989526 200.713755 \r\n",
       "L 174.295727 203.734062 \r\n",
       "L 174.601928 204.9306 \r\n",
       "L 174.908129 205.433353 \r\n",
       "L 175.214329 206.736112 \r\n",
       "L 175.826731 204.737716 \r\n",
       "L 176.132932 200.255267 \r\n",
       "L 176.439133 204.494625 \r\n",
       "L 176.745334 206.230797 \r\n",
       "L 177.051534 211.690334 \r\n",
       "L 177.357735 212.139155 \r\n",
       "L 177.663936 204.0659 \r\n",
       "L 177.970137 203.399606 \r\n",
       "L 178.276338 201.746266 \r\n",
       "L 178.582539 197.036992 \r\n",
       "L 178.88874 202.735144 \r\n",
       "L 179.19494 204.425398 \r\n",
       "L 179.501141 206.940719 \r\n",
       "L 179.807342 210.906941 \r\n",
       "L 180.419744 201.720067 \r\n",
       "L 180.725945 204.233091 \r\n",
       "L 181.032145 204.277046 \r\n",
       "L 181.338346 207.633022 \r\n",
       "L 181.644547 208.889572 \r\n",
       "L 181.950748 209.624055 \r\n",
       "L 182.256949 209.492628 \r\n",
       "L 182.56315 204.369303 \r\n",
       "L 182.86935 207.836969 \r\n",
       "L 183.175551 205.628649 \r\n",
       "L 183.481752 208.918285 \r\n",
       "L 183.787953 208.625534 \r\n",
       "L 184.094154 202.669607 \r\n",
       "L 184.400355 207.099471 \r\n",
       "L 184.706556 204.913098 \r\n",
       "L 185.012756 204.615785 \r\n",
       "L 185.318957 201.601213 \r\n",
       "L 185.625158 203.318343 \r\n",
       "L 185.931359 203.787063 \r\n",
       "L 186.23756 203.691246 \r\n",
       "L 186.543761 203.85228 \r\n",
       "L 186.849961 206.780883 \r\n",
       "L 187.156162 204.179348 \r\n",
       "L 187.462363 204.341245 \r\n",
       "L 187.768564 211.631423 \r\n",
       "L 188.074765 211.70315 \r\n",
       "L 188.380966 207.991421 \r\n",
       "L 188.687166 207.969845 \r\n",
       "L 188.993367 204.947191 \r\n",
       "L 189.299568 205.102699 \r\n",
       "L 189.605769 208.395485 \r\n",
       "L 189.91197 209.387798 \r\n",
       "L 190.218171 211.320137 \r\n",
       "L 190.524372 208.142966 \r\n",
       "L 191.442974 202.670854 \r\n",
       "L 191.749175 204.963149 \r\n",
       "L 192.055376 205.601941 \r\n",
       "L 192.361577 203.097811 \r\n",
       "L 192.667777 207.87816 \r\n",
       "L 192.973978 210.040766 \r\n",
       "L 193.280179 207.840319 \r\n",
       "L 193.58638 201.966531 \r\n",
       "L 193.892581 204.573433 \r\n",
       "L 194.198782 205.0522 \r\n",
       "L 194.504982 204.635658 \r\n",
       "L 194.811183 209.751885 \r\n",
       "L 195.117384 210.598314 \r\n",
       "L 195.423585 205.678095 \r\n",
       "L 195.729786 207.862455 \r\n",
       "L 196.035987 203.587131 \r\n",
       "L 196.342187 202.405187 \r\n",
       "L 196.648388 203.668345 \r\n",
       "L 196.954589 207.745909 \r\n",
       "L 197.566991 208.818982 \r\n",
       "L 197.873192 203.840685 \r\n",
       "L 198.179393 211.732059 \r\n",
       "L 198.485593 211.414239 \r\n",
       "L 198.791794 204.337134 \r\n",
       "L 199.404196 199.139451 \r\n",
       "L 199.710397 201.799521 \r\n",
       "L 200.016598 200.262378 \r\n",
       "L 200.322798 201.930034 \r\n",
       "L 200.628999 206.141603 \r\n",
       "L 201.241401 197.564647 \r\n",
       "L 201.853803 206.168316 \r\n",
       "L 202.160003 205.233462 \r\n",
       "L 202.466204 204.871113 \r\n",
       "L 202.772405 202.123324 \r\n",
       "L 203.078606 203.84862 \r\n",
       "L 203.384807 203.483366 \r\n",
       "L 203.691008 205.12226 \r\n",
       "L 203.997209 203.841483 \r\n",
       "L 204.303409 205.311274 \r\n",
       "L 204.60961 202.933592 \r\n",
       "L 204.915811 202.385101 \r\n",
       "L 205.222012 202.960019 \r\n",
       "L 205.528213 203.148833 \r\n",
       "L 205.834414 201.592057 \r\n",
       "L 206.446815 204.4859 \r\n",
       "L 207.059217 203.251612 \r\n",
       "L 207.671619 200.605851 \r\n",
       "L 207.977819 199.113696 \r\n",
       "L 208.28402 198.348493 \r\n",
       "L 208.896422 194.998335 \r\n",
       "L 209.202623 196.628557 \r\n",
       "L 209.508824 196.784777 \r\n",
       "L 209.815025 199.899178 \r\n",
       "L 210.121225 198.283209 \r\n",
       "L 210.427426 202.739123 \r\n",
       "L 210.733627 202.148815 \r\n",
       "L 211.039828 204.579535 \r\n",
       "L 211.346029 203.024895 \r\n",
       "L 211.65223 196.744989 \r\n",
       "L 211.95843 194.122433 \r\n",
       "L 212.264631 194.257906 \r\n",
       "L 212.570832 199.601648 \r\n",
       "L 212.877033 199.918442 \r\n",
       "L 213.183234 198.341766 \r\n",
       "L 213.489435 198.886715 \r\n",
       "L 213.795635 198.397318 \r\n",
       "L 214.101836 201.311914 \r\n",
       "L 214.408037 196.884412 \r\n",
       "L 215.632841 186.208459 \r\n",
       "L 215.939041 191.495487 \r\n",
       "L 216.245242 188.976189 \r\n",
       "L 216.551443 196.315199 \r\n",
       "L 216.857644 196.529915 \r\n",
       "L 217.163845 194.654566 \r\n",
       "L 217.470046 193.813479 \r\n",
       "L 217.776246 194.609316 \r\n",
       "L 218.082447 196.78138 \r\n",
       "L 218.388648 196.58776 \r\n",
       "L 218.694849 187.085702 \r\n",
       "L 219.00105 183.057475 \r\n",
       "L 219.919652 191.491415 \r\n",
       "L 220.225853 193.187155 \r\n",
       "L 220.838255 177.972847 \r\n",
       "L 221.144456 176.441195 \r\n",
       "L 221.450656 175.813424 \r\n",
       "L 221.756857 186.736771 \r\n",
       "L 222.063058 189.676939 \r\n",
       "L 222.369259 191.531042 \r\n",
       "L 222.67546 195.835573 \r\n",
       "L 222.981661 193.166516 \r\n",
       "L 223.287862 192.38878 \r\n",
       "L 223.900263 182.121316 \r\n",
       "L 224.206464 179.612666 \r\n",
       "L 224.512665 188.193852 \r\n",
       "L 224.818866 184.864587 \r\n",
       "L 225.125067 184.509066 \r\n",
       "L 225.431267 182.149051 \r\n",
       "L 225.737468 178.242144 \r\n",
       "L 226.043669 180.407826 \r\n",
       "L 226.34987 177.534993 \r\n",
       "L 226.656071 176.685537 \r\n",
       "L 226.962272 180.708675 \r\n",
       "L 227.574673 186.263205 \r\n",
       "L 227.880874 185.63625 \r\n",
       "L 228.187075 180.184178 \r\n",
       "L 228.493276 183.252983 \r\n",
       "L 228.799477 182.134034 \r\n",
       "L 229.105678 178.007507 \r\n",
       "L 229.411878 179.304294 \r\n",
       "L 229.718079 180.047402 \r\n",
       "L 230.02428 177.603566 \r\n",
       "L 230.330481 176.901292 \r\n",
       "L 230.636682 176.980088 \r\n",
       "L 230.942883 172.802674 \r\n",
       "L 231.249083 172.519916 \r\n",
       "L 231.555284 176.110556 \r\n",
       "L 231.861485 176.866 \r\n",
       "L 232.167686 182.681417 \r\n",
       "L 232.473887 182.208226 \r\n",
       "L 232.780088 182.194992 \r\n",
       "L 233.086288 174.978055 \r\n",
       "L 233.392489 175.229165 \r\n",
       "L 233.69869 179.339688 \r\n",
       "L 234.004891 180.066503 \r\n",
       "L 234.311092 178.253464 \r\n",
       "L 234.617293 175.629104 \r\n",
       "L 234.923494 171.279769 \r\n",
       "L 235.229694 170.04007 \r\n",
       "L 235.535895 173.02748 \r\n",
       "L 235.842096 170.494067 \r\n",
       "L 236.148297 170.12709 \r\n",
       "L 236.454498 171.065454 \r\n",
       "L 236.760699 170.074 \r\n",
       "L 237.066899 174.664894 \r\n",
       "L 237.3731 181.576008 \r\n",
       "L 237.679301 177.698213 \r\n",
       "L 237.985502 175.368956 \r\n",
       "L 238.291703 168.862205 \r\n",
       "L 238.597904 169.177795 \r\n",
       "L 238.904104 165.886054 \r\n",
       "L 239.210305 166.221275 \r\n",
       "L 239.516506 160.705157 \r\n",
       "L 239.822707 167.565494 \r\n",
       "L 240.128908 159.572202 \r\n",
       "L 240.435109 160.123835 \r\n",
       "L 241.04751 166.826972 \r\n",
       "L 241.353711 167.144562 \r\n",
       "L 241.659912 170.42521 \r\n",
       "L 241.966113 168.501802 \r\n",
       "L 242.272314 161.348856 \r\n",
       "L 242.578515 163.16127 \r\n",
       "L 242.884715 158.204385 \r\n",
       "L 243.190916 157.170288 \r\n",
       "L 243.497117 151.593775 \r\n",
       "L 243.803318 152.805077 \r\n",
       "L 244.109519 157.932344 \r\n",
       "L 244.41572 153.059309 \r\n",
       "L 245.028121 149.182816 \r\n",
       "L 245.334322 149.050333 \r\n",
       "L 245.640523 155.218802 \r\n",
       "L 245.946724 157.070324 \r\n",
       "L 246.252925 154.508054 \r\n",
       "L 246.559125 154.729274 \r\n",
       "L 246.865326 153.467084 \r\n",
       "L 247.171527 153.141837 \r\n",
       "L 247.477728 149.997972 \r\n",
       "L 247.783929 148.469364 \r\n",
       "L 248.09013 153.770609 \r\n",
       "L 248.396331 151.370883 \r\n",
       "L 248.702531 153.726624 \r\n",
       "L 249.008732 154.360499 \r\n",
       "L 249.314933 152.586276 \r\n",
       "L 249.927335 156.755817 \r\n",
       "L 251.152138 143.252046 \r\n",
       "L 251.458339 141.917006 \r\n",
       "L 251.76454 144.705183 \r\n",
       "L 252.070741 142.434632 \r\n",
       "L 252.376941 143.393211 \r\n",
       "L 252.683142 147.392595 \r\n",
       "L 252.989343 147.681934 \r\n",
       "L 253.295544 147.213756 \r\n",
       "L 253.907946 153.717459 \r\n",
       "L 254.214147 151.774924 \r\n",
       "L 254.520347 154.913372 \r\n",
       "L 254.826548 154.818654 \r\n",
       "L 255.132749 147.653384 \r\n",
       "L 255.43895 145.444367 \r\n",
       "L 255.745151 142.349529 \r\n",
       "L 256.051352 147.21222 \r\n",
       "L 256.357552 148.744245 \r\n",
       "L 256.663753 144.48125 \r\n",
       "L 257.276155 145.15318 \r\n",
       "L 257.582356 144.493992 \r\n",
       "L 257.888557 146.875084 \r\n",
       "L 258.194757 145.057402 \r\n",
       "L 258.500958 142.311435 \r\n",
       "L 258.807159 141.191714 \r\n",
       "L 259.11336 141.477497 \r\n",
       "L 259.419561 142.365241 \r\n",
       "L 259.725762 143.9493 \r\n",
       "L 260.031963 150.643307 \r\n",
       "L 260.338163 149.792671 \r\n",
       "L 260.644364 146.262287 \r\n",
       "L 261.562967 140.19682 \r\n",
       "L 261.869168 140.61519 \r\n",
       "L 262.175368 132.81882 \r\n",
       "L 262.481569 130.233009 \r\n",
       "L 262.78777 128.764905 \r\n",
       "L 263.093971 128.8211 \r\n",
       "L 263.400172 129.157172 \r\n",
       "L 264.624975 141.515766 \r\n",
       "L 264.931176 136.233937 \r\n",
       "L 265.237377 134.539208 \r\n",
       "L 265.543578 134.094406 \r\n",
       "L 265.849779 134.211231 \r\n",
       "L 266.155979 128.908923 \r\n",
       "L 266.46218 128.100752 \r\n",
       "L 266.768381 124.54538 \r\n",
       "L 267.074582 126.297257 \r\n",
       "L 267.686984 123.504565 \r\n",
       "L 268.605586 137.802814 \r\n",
       "L 268.911787 138.570002 \r\n",
       "L 269.524189 127.141808 \r\n",
       "L 269.830389 124.054985 \r\n",
       "L 270.13659 125.669605 \r\n",
       "L 270.442791 133.991862 \r\n",
       "L 271.361394 125.327271 \r\n",
       "L 271.667594 125.084142 \r\n",
       "L 271.973795 123.766638 \r\n",
       "L 272.279996 123.204438 \r\n",
       "L 272.586197 124.069763 \r\n",
       "L 273.198599 119.467771 \r\n",
       "L 273.5048 124.741787 \r\n",
       "L 273.811 125.852492 \r\n",
       "L 274.117201 128.304951 \r\n",
       "L 274.423402 129.498352 \r\n",
       "L 275.035804 125.642475 \r\n",
       "L 275.342005 125.944663 \r\n",
       "L 275.954406 136.287029 \r\n",
       "L 276.260607 135.280297 \r\n",
       "L 276.566808 135.765352 \r\n",
       "L 276.873009 131.959778 \r\n",
       "L 277.48541 121.270866 \r\n",
       "L 277.791611 115.845978 \r\n",
       "L 278.097812 118.582684 \r\n",
       "L 278.404013 119.224329 \r\n",
       "L 279.016415 124.046256 \r\n",
       "L 279.322616 125.589123 \r\n",
       "L 279.628816 125.674056 \r\n",
       "L 279.935017 127.83326 \r\n",
       "L 280.241218 123.125739 \r\n",
       "L 280.547419 123.846235 \r\n",
       "L 281.159821 119.633521 \r\n",
       "L 281.466021 123.910139 \r\n",
       "L 281.772222 124.75807 \r\n",
       "L 282.384624 121.888509 \r\n",
       "L 282.690825 121.58797 \r\n",
       "L 282.997026 126.492566 \r\n",
       "L 283.303226 125.882789 \r\n",
       "L 283.609427 127.822071 \r\n",
       "L 284.221829 119.733297 \r\n",
       "L 284.52803 123.85417 \r\n",
       "L 284.834231 118.782874 \r\n",
       "L 285.140432 117.812598 \r\n",
       "L 285.446632 117.506739 \r\n",
       "L 285.752833 119.817185 \r\n",
       "L 286.059034 125.96371 \r\n",
       "L 286.365235 126.719274 \r\n",
       "L 286.671436 128.880613 \r\n",
       "L 286.977637 126.056101 \r\n",
       "L 287.283837 125.754 \r\n",
       "L 287.590038 121.214993 \r\n",
       "L 287.896239 120.371271 \r\n",
       "L 288.20244 122.775531 \r\n",
       "L 288.508641 120.334687 \r\n",
       "L 288.814842 126.437474 \r\n",
       "L 289.121042 123.917484 \r\n",
       "L 289.427243 118.031804 \r\n",
       "L 289.733444 120.953988 \r\n",
       "L 290.039645 120.350671 \r\n",
       "L 290.345846 118.338725 \r\n",
       "L 290.652047 127.471316 \r\n",
       "L 290.958247 124.423971 \r\n",
       "L 291.264448 125.093097 \r\n",
       "L 291.570649 122.610411 \r\n",
       "L 291.87685 123.250871 \r\n",
       "L 292.489252 129.956237 \r\n",
       "L 292.795453 134.021011 \r\n",
       "L 293.101653 126.005109 \r\n",
       "L 293.407854 123.334759 \r\n",
       "L 293.714055 123.956793 \r\n",
       "L 294.020256 124.108745 \r\n",
       "L 294.326457 127.911066 \r\n",
       "L 294.632658 126.516351 \r\n",
       "L 294.938858 124.459192 \r\n",
       "L 295.245059 123.672723 \r\n",
       "L 295.55126 120.775721 \r\n",
       "L 295.857461 122.852443 \r\n",
       "L 296.163662 131.522532 \r\n",
       "L 296.469863 126.608166 \r\n",
       "L 296.776063 130.564812 \r\n",
       "L 297.082264 123.270503 \r\n",
       "L 297.388465 121.079306 \r\n",
       "L 297.694666 129.79106 \r\n",
       "L 298.919469 120.158182 \r\n",
       "L 299.22567 120.381094 \r\n",
       "L 299.531871 132.230693 \r\n",
       "L 299.838072 131.020011 \r\n",
       "L 300.144273 130.475739 \r\n",
       "L 300.450474 122.363762 \r\n",
       "L 300.756674 118.226692 \r\n",
       "L 301.062875 119.16298 \r\n",
       "L 301.369076 126.933262 \r\n",
       "L 301.675277 131.035865 \r\n",
       "L 301.981478 127.86144 \r\n",
       "L 302.593879 123.875616 \r\n",
       "L 302.90008 125.001933 \r\n",
       "L 303.512482 125.550951 \r\n",
       "L 303.818683 123.180736 \r\n",
       "L 304.431085 133.435808 \r\n",
       "L 304.737285 136.746098 \r\n",
       "L 305.043486 136.056687 \r\n",
       "L 305.349687 134.852494 \r\n",
       "L 305.655888 130.803026 \r\n",
       "L 306.26829 119.9131 \r\n",
       "L 306.57449 120.509466 \r\n",
       "L 306.880691 125.372463 \r\n",
       "L 307.186892 133.457159 \r\n",
       "L 307.493093 136.742031 \r\n",
       "L 307.799294 138.357388 \r\n",
       "L 308.105495 143.639829 \r\n",
       "L 308.411695 138.462201 \r\n",
       "L 308.717896 137.283589 \r\n",
       "L 309.024097 136.639985 \r\n",
       "L 309.330298 135.169774 \r\n",
       "L 309.636499 138.923542 \r\n",
       "L 310.248901 135.30227 \r\n",
       "L 310.555101 135.210932 \r\n",
       "L 310.861302 133.060666 \r\n",
       "L 311.167503 135.280121 \r\n",
       "L 311.473704 135.312982 \r\n",
       "L 311.779905 134.227957 \r\n",
       "L 312.086106 139.159201 \r\n",
       "L 312.392306 139.293131 \r\n",
       "L 312.698507 134.240127 \r\n",
       "L 313.004708 137.480056 \r\n",
       "L 313.310909 136.839108 \r\n",
       "L 313.61711 135.929107 \r\n",
       "L 313.923311 137.380931 \r\n",
       "L 314.229511 138.162454 \r\n",
       "L 314.535712 143.359819 \r\n",
       "L 314.841913 141.782642 \r\n",
       "L 315.148114 144.124612 \r\n",
       "L 315.454315 143.144929 \r\n",
       "L 315.760516 140.280706 \r\n",
       "L 316.066716 140.364511 \r\n",
       "L 316.372917 139.089088 \r\n",
       "L 316.679118 150.33844 \r\n",
       "L 316.985319 152.825316 \r\n",
       "L 317.29152 148.465355 \r\n",
       "L 317.903922 136.563792 \r\n",
       "L 318.210122 142.153326 \r\n",
       "L 318.516323 152.847516 \r\n",
       "L 318.822524 151.627699 \r\n",
       "L 319.128725 149.684337 \r\n",
       "L 319.434926 150.602254 \r\n",
       "L 319.741127 150.285714 \r\n",
       "L 320.047327 146.28881 \r\n",
       "L 320.353528 149.395655 \r\n",
       "L 320.659729 149.055665 \r\n",
       "L 320.96593 149.46182 \r\n",
       "L 321.578332 143.588505 \r\n",
       "L 321.884532 147.165848 \r\n",
       "L 322.190733 147.787433 \r\n",
       "L 322.803135 157.977984 \r\n",
       "L 323.109336 159.820671 \r\n",
       "L 323.415537 162.962311 \r\n",
       "L 323.721738 157.876427 \r\n",
       "L 324.027938 158.941068 \r\n",
       "L 324.334139 162.030794 \r\n",
       "L 324.64034 160.793123 \r\n",
       "L 324.946541 160.080079 \r\n",
       "L 325.252742 160.836807 \r\n",
       "L 325.558943 157.576348 \r\n",
       "L 325.865143 165.113427 \r\n",
       "L 326.171344 165.507737 \r\n",
       "L 326.477545 159.441227 \r\n",
       "L 326.783746 156.915759 \r\n",
       "L 327.089947 159.297291 \r\n",
       "L 327.396148 157.057406 \r\n",
       "L 327.702348 160.115341 \r\n",
       "L 328.008549 161.18779 \r\n",
       "L 328.31475 166.074434 \r\n",
       "L 328.620951 168.183004 \r\n",
       "L 329.233353 165.792736 \r\n",
       "L 329.539554 167.507211 \r\n",
       "L 329.845754 165.777662 \r\n",
       "L 330.151955 168.391544 \r\n",
       "L 330.458156 161.920219 \r\n",
       "L 330.764357 161.053283 \r\n",
       "L 331.070558 166.93508 \r\n",
       "L 331.376759 169.570075 \r\n",
       "L 331.682959 168.442205 \r\n",
       "L 331.98916 165.397542 \r\n",
       "L 332.295361 164.225048 \r\n",
       "L 332.601562 164.719125 \r\n",
       "L 333.213964 172.740322 \r\n",
       "L 333.520164 168.740541 \r\n",
       "L 333.826365 171.362851 \r\n",
       "L 334.132566 163.946186 \r\n",
       "L 334.438767 170.196918 \r\n",
       "L 334.744968 173.567644 \r\n",
       "L 335.051169 170.785366 \r\n",
       "L 335.35737 170.985103 \r\n",
       "L 335.66357 172.874575 \r\n",
       "L 335.969771 171.395971 \r\n",
       "L 336.275972 169.247027 \r\n",
       "L 336.582173 168.57997 \r\n",
       "L 336.888374 166.140557 \r\n",
       "L 337.194575 172.044625 \r\n",
       "L 338.113177 179.88012 \r\n",
       "L 338.725579 175.296368 \r\n",
       "L 339.03178 175.220406 \r\n",
       "L 339.33798 173.823372 \r\n",
       "L 339.644181 174.125858 \r\n",
       "L 340.256583 182.439844 \r\n",
       "L 340.562784 179.466946 \r\n",
       "L 340.868985 180.483304 \r\n",
       "L 341.175185 177.115783 \r\n",
       "L 341.175185 177.115783 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_15\">\r\n",
       "    <path clip-path=\"url(#p04d49646fa)\" d=\"M 47.834779 160.95002 \r\n",
       "L 48.14098 171.530463 \r\n",
       "L 48.447181 174.215823 \r\n",
       "L 48.753382 172.36546 \r\n",
       "L 49.365784 164.244 \r\n",
       "L 49.671984 161.419618 \r\n",
       "L 49.978185 155.572803 \r\n",
       "L 50.284386 166.781134 \r\n",
       "L 50.590587 169.512712 \r\n",
       "L 50.896788 158.927642 \r\n",
       "L 51.50919 164.312156 \r\n",
       "L 52.121591 163.983587 \r\n",
       "L 52.427792 169.501562 \r\n",
       "L 52.733993 159.212504 \r\n",
       "L 53.040194 166.837679 \r\n",
       "L 53.652595 157.396652 \r\n",
       "L 53.958796 157.719171 \r\n",
       "L 54.264997 156.893287 \r\n",
       "L 54.571198 153.505691 \r\n",
       "L 54.877399 155.865207 \r\n",
       "L 55.1836 144.811739 \r\n",
       "L 55.4898 143.014453 \r\n",
       "L 56.102202 136.983588 \r\n",
       "L 56.408403 137.436917 \r\n",
       "L 57.020805 153.303069 \r\n",
       "L 57.327005 152.947171 \r\n",
       "L 57.633206 150.638502 \r\n",
       "L 57.939407 153.813176 \r\n",
       "L 58.245608 150.16482 \r\n",
       "L 58.551809 144.565871 \r\n",
       "L 58.85801 146.296943 \r\n",
       "L 59.164211 146.962066 \r\n",
       "L 59.470411 142.987922 \r\n",
       "L 59.776612 146.201355 \r\n",
       "L 60.082813 139.709371 \r\n",
       "L 60.389014 137.201193 \r\n",
       "L 60.695215 130.389621 \r\n",
       "L 61.307616 141.601815 \r\n",
       "L 61.613817 150.216565 \r\n",
       "L 62.226219 125.944615 \r\n",
       "L 63.144821 135.053404 \r\n",
       "L 63.451022 130.421363 \r\n",
       "L 63.757223 119.223539 \r\n",
       "L 64.063424 122.578174 \r\n",
       "L 64.369625 118.498627 \r\n",
       "L 64.675826 124.866015 \r\n",
       "L 64.982027 128.490971 \r\n",
       "L 65.288227 127.826132 \r\n",
       "L 65.594428 132.884881 \r\n",
       "L 65.900629 142.857645 \r\n",
       "L 66.20683 133.129555 \r\n",
       "L 66.513031 134.644603 \r\n",
       "L 66.819232 125.074835 \r\n",
       "L 67.125432 122.128732 \r\n",
       "L 67.431633 132.890061 \r\n",
       "L 67.737834 131.920704 \r\n",
       "L 68.044035 129.568209 \r\n",
       "L 68.350236 129.400177 \r\n",
       "L 68.656437 130.271584 \r\n",
       "L 68.962637 126.740677 \r\n",
       "L 69.268838 126.323732 \r\n",
       "L 69.575039 130.448484 \r\n",
       "L 70.187441 133.857578 \r\n",
       "L 70.493642 139.176449 \r\n",
       "L 70.799843 138.698439 \r\n",
       "L 71.412244 115.849037 \r\n",
       "L 71.718445 110.825687 \r\n",
       "L 72.024646 115.197938 \r\n",
       "L 72.330847 111.938671 \r\n",
       "L 72.637048 116.857962 \r\n",
       "L 72.943248 117.274786 \r\n",
       "L 73.249449 112.829854 \r\n",
       "L 73.55565 111.164172 \r\n",
       "L 73.861851 111.254017 \r\n",
       "L 74.168052 114.584938 \r\n",
       "L 74.474253 114.915708 \r\n",
       "L 74.780453 108.161541 \r\n",
       "L 75.086654 117.363386 \r\n",
       "L 75.392855 114.908367 \r\n",
       "L 75.699056 122.725099 \r\n",
       "L 76.005257 125.327484 \r\n",
       "L 76.617659 113.938598 \r\n",
       "L 76.923859 113.843035 \r\n",
       "L 77.23006 114.794052 \r\n",
       "L 77.536261 117.667079 \r\n",
       "L 77.842462 117.931486 \r\n",
       "L 78.148663 118.507825 \r\n",
       "L 78.454864 123.109088 \r\n",
       "L 78.761064 116.980495 \r\n",
       "L 79.067265 103.557658 \r\n",
       "L 79.373466 97.165335 \r\n",
       "L 79.679667 100.64478 \r\n",
       "L 79.985868 110.188546 \r\n",
       "L 80.292069 115.387807 \r\n",
       "L 80.598269 116.683344 \r\n",
       "L 80.90447 119.78366 \r\n",
       "L 81.210671 120.780051 \r\n",
       "L 81.516872 118.880303 \r\n",
       "L 81.823073 119.069751 \r\n",
       "L 82.129274 113.985395 \r\n",
       "L 82.435474 111.102997 \r\n",
       "L 82.741675 101.026274 \r\n",
       "L 83.047876 104.25488 \r\n",
       "L 83.354077 111.123684 \r\n",
       "L 83.660278 112.384468 \r\n",
       "L 83.966479 124.10212 \r\n",
       "L 84.27268 117.183631 \r\n",
       "L 84.57888 105.43996 \r\n",
       "L 85.191282 110.835054 \r\n",
       "L 85.497483 108.084521 \r\n",
       "L 85.803684 113.221652 \r\n",
       "L 86.109885 105.739969 \r\n",
       "L 86.416085 101.381628 \r\n",
       "L 86.722286 102.863992 \r\n",
       "L 87.334688 101.378075 \r\n",
       "L 87.640889 100.887468 \r\n",
       "L 87.94709 96.416499 \r\n",
       "L 88.559491 117.396112 \r\n",
       "L 88.865692 115.805576 \r\n",
       "L 89.171893 115.973908 \r\n",
       "L 89.478094 125.809661 \r\n",
       "L 89.784295 118.461592 \r\n",
       "L 90.090496 116.165052 \r\n",
       "L 90.396696 111.597826 \r\n",
       "L 90.702897 109.296136 \r\n",
       "L 91.009098 109.904225 \r\n",
       "L 91.315299 111.268404 \r\n",
       "L 91.6215 109.323018 \r\n",
       "L 91.927701 106.146172 \r\n",
       "L 92.233901 104.826595 \r\n",
       "L 92.540102 105.642324 \r\n",
       "L 92.846303 106.802173 \r\n",
       "L 93.152504 103.005997 \r\n",
       "L 93.458705 106.350888 \r\n",
       "L 93.764906 102.782 \r\n",
       "L 94.071106 104.63775 \r\n",
       "L 94.377307 108.341353 \r\n",
       "L 94.683508 106.55523 \r\n",
       "L 95.29591 100.295141 \r\n",
       "L 95.602111 99.156199 \r\n",
       "L 95.908312 115.774052 \r\n",
       "L 96.214512 105.646567 \r\n",
       "L 96.520713 103.293407 \r\n",
       "L 96.826914 105.135412 \r\n",
       "L 97.133115 101.592079 \r\n",
       "L 97.439316 111.260794 \r\n",
       "L 97.745517 108.38454 \r\n",
       "L 98.357918 117.013225 \r\n",
       "L 98.664119 114.930933 \r\n",
       "L 98.97032 116.209953 \r\n",
       "L 99.582722 120.834184 \r\n",
       "L 100.195123 104.73458 \r\n",
       "L 100.501324 104.438241 \r\n",
       "L 100.807525 101.011792 \r\n",
       "L 101.113726 108.542098 \r\n",
       "L 101.419927 98.407155 \r\n",
       "L 101.726128 105.808663 \r\n",
       "L 102.032328 104.640028 \r\n",
       "L 102.338529 108.319008 \r\n",
       "L 102.64473 108.052736 \r\n",
       "L 103.257132 112.665254 \r\n",
       "L 103.563333 108.866417 \r\n",
       "L 103.869533 106.928415 \r\n",
       "L 104.481935 93.91245 \r\n",
       "L 104.788136 91.562223 \r\n",
       "L 105.094337 91.413875 \r\n",
       "L 105.400538 95.30194 \r\n",
       "L 105.706738 92.488015 \r\n",
       "L 106.012939 102.363311 \r\n",
       "L 106.31914 98.962174 \r\n",
       "L 106.625341 98.336973 \r\n",
       "L 106.931542 94.273522 \r\n",
       "L 107.237743 96.510032 \r\n",
       "L 107.543943 105.516546 \r\n",
       "L 107.850144 105.758973 \r\n",
       "L 108.156345 101.733376 \r\n",
       "L 108.768747 115.323612 \r\n",
       "L 109.074948 120.849526 \r\n",
       "L 109.687349 107.898471 \r\n",
       "L 109.99355 101.388692 \r\n",
       "L 110.605952 113.495066 \r\n",
       "L 110.912153 116.031499 \r\n",
       "L 111.218354 127.955467 \r\n",
       "L 111.524554 123.216413 \r\n",
       "L 111.830755 125.293603 \r\n",
       "L 112.136956 120.598708 \r\n",
       "L 112.443157 111.416613 \r\n",
       "L 112.749358 116.538064 \r\n",
       "L 113.055559 112.142853 \r\n",
       "L 113.66796 119.149383 \r\n",
       "L 113.974161 110.386372 \r\n",
       "L 114.586563 124.121983 \r\n",
       "L 114.892764 116.912542 \r\n",
       "L 115.198965 118.263463 \r\n",
       "L 115.505165 121.684714 \r\n",
       "L 115.811366 116.671096 \r\n",
       "L 116.117567 117.263427 \r\n",
       "L 116.423768 124.767827 \r\n",
       "L 116.729969 123.416404 \r\n",
       "L 117.03617 115.23775 \r\n",
       "L 117.34237 114.935571 \r\n",
       "L 118.567174 131.268178 \r\n",
       "L 118.873375 127.738656 \r\n",
       "L 119.179575 119.146129 \r\n",
       "L 119.485776 113.89988 \r\n",
       "L 119.791977 112.483169 \r\n",
       "L 120.404379 119.557143 \r\n",
       "L 121.016781 121.957108 \r\n",
       "L 121.629182 133.117758 \r\n",
       "L 122.241584 117.517924 \r\n",
       "L 122.547785 125.019122 \r\n",
       "L 123.160186 132.709529 \r\n",
       "L 123.466387 139.490323 \r\n",
       "L 123.772588 134.513922 \r\n",
       "L 124.691191 131.625623 \r\n",
       "L 124.997391 134.113824 \r\n",
       "L 125.609793 134.511204 \r\n",
       "L 125.915994 134.096074 \r\n",
       "L 126.222195 138.339667 \r\n",
       "L 126.528396 135.490145 \r\n",
       "L 126.834596 133.961964 \r\n",
       "L 127.140797 133.954857 \r\n",
       "L 127.446998 131.2537 \r\n",
       "L 127.753199 138.617341 \r\n",
       "L 128.0594 138.05856 \r\n",
       "L 128.365601 140.876174 \r\n",
       "L 128.671802 141.661315 \r\n",
       "L 128.978002 138.596108 \r\n",
       "L 129.284203 145.26791 \r\n",
       "L 129.590404 140.87108 \r\n",
       "L 129.896605 145.209971 \r\n",
       "L 130.202806 137.276458 \r\n",
       "L 130.509007 139.145475 \r\n",
       "L 130.815207 130.081685 \r\n",
       "L 131.121408 131.286583 \r\n",
       "L 131.427609 136.612359 \r\n",
       "L 131.73381 137.901779 \r\n",
       "L 132.040011 144.950398 \r\n",
       "L 132.346212 141.796734 \r\n",
       "L 132.652412 147.210753 \r\n",
       "L 132.958613 155.603243 \r\n",
       "L 133.264814 152.022363 \r\n",
       "L 133.571015 160.694475 \r\n",
       "L 133.877216 153.126364 \r\n",
       "L 134.183417 158.389218 \r\n",
       "L 134.489618 158.688889 \r\n",
       "L 134.795818 159.373437 \r\n",
       "L 135.102019 158.757126 \r\n",
       "L 135.40822 165.496143 \r\n",
       "L 135.714421 159.337109 \r\n",
       "L 136.020622 155.590003 \r\n",
       "L 136.326823 158.96759 \r\n",
       "L 136.633023 160.396524 \r\n",
       "L 136.939224 159.304407 \r\n",
       "L 137.245425 157.206748 \r\n",
       "L 137.551626 163.570579 \r\n",
       "L 137.857827 161.306652 \r\n",
       "L 138.164028 171.215038 \r\n",
       "L 138.470228 174.147375 \r\n",
       "L 138.776429 170.458024 \r\n",
       "L 139.08263 169.774793 \r\n",
       "L 139.388831 163.189797 \r\n",
       "L 139.695032 161.752346 \r\n",
       "L 140.001233 168.473728 \r\n",
       "L 140.307434 170.864392 \r\n",
       "L 140.613634 170.282209 \r\n",
       "L 140.919835 161.204678 \r\n",
       "L 141.226036 162.740145 \r\n",
       "L 141.532237 160.86328 \r\n",
       "L 141.838438 169.775575 \r\n",
       "L 142.144639 166.262865 \r\n",
       "L 142.450839 165.829626 \r\n",
       "L 143.063241 176.990425 \r\n",
       "L 143.369442 174.8108 \r\n",
       "L 143.675643 173.69451 \r\n",
       "L 143.981844 175.511479 \r\n",
       "L 144.288044 170.812376 \r\n",
       "L 144.594245 169.309062 \r\n",
       "L 144.900446 169.619674 \r\n",
       "L 145.206647 169.356088 \r\n",
       "L 145.512848 173.318558 \r\n",
       "L 146.12525 170.789701 \r\n",
       "L 146.43145 166.318148 \r\n",
       "L 146.737651 171.328908 \r\n",
       "L 147.043852 170.700764 \r\n",
       "L 147.350053 172.956045 \r\n",
       "L 147.656254 172.083498 \r\n",
       "L 147.962455 161.991188 \r\n",
       "L 148.268655 166.953668 \r\n",
       "L 148.574856 165.644921 \r\n",
       "L 148.881057 172.141424 \r\n",
       "L 149.187258 171.176205 \r\n",
       "L 149.493459 167.617921 \r\n",
       "L 149.79966 160.935788 \r\n",
       "L 150.10586 161.550327 \r\n",
       "L 150.412061 173.367564 \r\n",
       "L 151.024463 183.012361 \r\n",
       "L 151.943065 176.628316 \r\n",
       "L 152.249266 176.086544 \r\n",
       "L 152.555467 174.820515 \r\n",
       "L 153.167869 179.560819 \r\n",
       "L 153.47407 179.456324 \r\n",
       "L 153.780271 174.571153 \r\n",
       "L 154.392672 183.84587 \r\n",
       "L 154.698873 181.721983 \r\n",
       "L 155.005074 183.140745 \r\n",
       "L 155.311275 187.085636 \r\n",
       "L 155.617476 184.13218 \r\n",
       "L 155.923676 184.991521 \r\n",
       "L 156.229877 187.613844 \r\n",
       "L 156.536078 183.665145 \r\n",
       "L 157.14848 193.438367 \r\n",
       "L 157.454681 189.447424 \r\n",
       "L 157.760881 189.712813 \r\n",
       "L 158.067082 192.93174 \r\n",
       "L 158.679484 195.809702 \r\n",
       "L 158.985685 191.464543 \r\n",
       "L 159.291886 193.376082 \r\n",
       "L 159.598087 187.953157 \r\n",
       "L 159.904287 186.198428 \r\n",
       "L 160.210488 186.929298 \r\n",
       "L 160.516689 186.488909 \r\n",
       "L 160.82289 189.616903 \r\n",
       "L 161.129091 201.610049 \r\n",
       "L 161.435292 200.773338 \r\n",
       "L 161.741492 202.411027 \r\n",
       "L 162.660095 193.907884 \r\n",
       "L 162.966296 194.467535 \r\n",
       "L 163.272497 194.25086 \r\n",
       "L 163.884898 189.28585 \r\n",
       "L 164.191099 192.422001 \r\n",
       "L 164.4973 193.452147 \r\n",
       "L 164.803501 196.618934 \r\n",
       "L 165.415903 198.254446 \r\n",
       "L 165.722103 198.1187 \r\n",
       "L 166.028304 197.673365 \r\n",
       "L 166.334505 198.13033 \r\n",
       "L 166.640706 195.777236 \r\n",
       "L 166.946907 194.615327 \r\n",
       "L 167.253108 198.531296 \r\n",
       "L 167.559308 195.285587 \r\n",
       "L 168.17171 198.335907 \r\n",
       "L 168.477911 200.280948 \r\n",
       "L 168.784112 207.307262 \r\n",
       "L 169.090313 204.324762 \r\n",
       "L 169.396513 204.045086 \r\n",
       "L 169.702714 199.106212 \r\n",
       "L 170.008915 196.652647 \r\n",
       "L 170.315116 200.52564 \r\n",
       "L 170.621317 198.472199 \r\n",
       "L 170.927518 198.86411 \r\n",
       "L 171.233719 201.292259 \r\n",
       "L 171.84612 209.04631 \r\n",
       "L 172.152321 205.075949 \r\n",
       "L 172.458522 202.585087 \r\n",
       "L 172.764723 201.41631 \r\n",
       "L 173.070924 195.437362 \r\n",
       "L 173.377124 201.813892 \r\n",
       "L 173.683325 204.361561 \r\n",
       "L 173.989526 204.977638 \r\n",
       "L 174.295727 208.719687 \r\n",
       "L 174.601928 205.222763 \r\n",
       "L 174.908129 207.589236 \r\n",
       "L 175.214329 206.701759 \r\n",
       "L 175.52053 202.113195 \r\n",
       "L 175.826731 200.419488 \r\n",
       "L 176.439133 202.302855 \r\n",
       "L 176.745334 205.444812 \r\n",
       "L 177.051534 206.631342 \r\n",
       "L 177.357735 207.093527 \r\n",
       "L 177.663936 208.469051 \r\n",
       "L 178.276338 206.221356 \r\n",
       "L 178.582539 201.325437 \r\n",
       "L 178.88874 206.257493 \r\n",
       "L 179.19494 208.231549 \r\n",
       "L 179.501141 213.95101 \r\n",
       "L 179.807342 214.090138 \r\n",
       "L 180.113543 205.062901 \r\n",
       "L 180.419744 204.591477 \r\n",
       "L 180.725945 203.287256 \r\n",
       "L 181.032145 198.096571 \r\n",
       "L 181.338346 204.355289 \r\n",
       "L 181.950748 208.839868 \r\n",
       "L 182.256949 212.91142 \r\n",
       "L 182.86935 202.706975 \r\n",
       "L 183.175551 205.873465 \r\n",
       "L 183.481752 206.144219 \r\n",
       "L 183.787953 209.542575 \r\n",
       "L 184.400355 211.509364 \r\n",
       "L 184.706556 211.281988 \r\n",
       "L 185.012756 205.608822 \r\n",
       "L 185.318957 209.628767 \r\n",
       "L 185.625158 207.343412 \r\n",
       "L 185.931359 210.863919 \r\n",
       "L 186.23756 210.374722 \r\n",
       "L 186.543761 203.800535 \r\n",
       "L 186.849961 208.847639 \r\n",
       "L 187.156162 206.663804 \r\n",
       "L 187.462363 206.145403 \r\n",
       "L 187.768564 202.711015 \r\n",
       "L 188.074765 204.951527 \r\n",
       "L 188.380966 205.508898 \r\n",
       "L 188.687166 205.242942 \r\n",
       "L 188.993367 205.306653 \r\n",
       "L 189.299568 208.687225 \r\n",
       "L 189.605769 205.708301 \r\n",
       "L 189.91197 205.775194 \r\n",
       "L 190.218171 213.984414 \r\n",
       "L 190.524372 213.951388 \r\n",
       "L 190.830572 209.334714 \r\n",
       "L 191.136773 209.421444 \r\n",
       "L 191.442974 206.550287 \r\n",
       "L 191.749175 206.745484 \r\n",
       "L 192.055376 210.318085 \r\n",
       "L 192.361577 211.382996 \r\n",
       "L 192.667777 213.305305 \r\n",
       "L 192.973978 209.669446 \r\n",
       "L 193.892581 204.135167 \r\n",
       "L 194.198782 206.709169 \r\n",
       "L 194.504982 207.37334 \r\n",
       "L 194.811183 204.42876 \r\n",
       "L 195.117384 209.775847 \r\n",
       "L 195.423585 212.236983 \r\n",
       "L 195.729786 209.484919 \r\n",
       "L 196.035987 202.807576 \r\n",
       "L 196.342187 206.196374 \r\n",
       "L 196.648388 207.001165 \r\n",
       "L 196.954589 206.231044 \r\n",
       "L 197.26079 211.692698 \r\n",
       "L 197.566991 212.715165 \r\n",
       "L 197.873192 207.009834 \r\n",
       "L 198.179393 209.444374 \r\n",
       "L 198.485593 205.049165 \r\n",
       "L 198.791794 203.787055 \r\n",
       "L 199.097995 205.203714 \r\n",
       "L 199.404196 209.872808 \r\n",
       "L 200.016598 210.516001 \r\n",
       "L 200.322798 205.018994 \r\n",
       "L 200.628999 214.046513 \r\n",
       "L 200.9352 213.6411 \r\n",
       "L 201.241401 205.410404 \r\n",
       "L 201.853803 200.474431 \r\n",
       "L 202.160003 203.568013 \r\n",
       "L 202.466204 201.590733 \r\n",
       "L 202.772405 203.365571 \r\n",
       "L 203.078606 208.113659 \r\n",
       "L 203.691008 198.284357 \r\n",
       "L 204.303409 208.458691 \r\n",
       "L 204.60961 206.853221 \r\n",
       "L 204.915811 206.134787 \r\n",
       "L 205.222012 203.439786 \r\n",
       "L 205.528213 205.576407 \r\n",
       "L 205.834414 205.074516 \r\n",
       "L 206.140614 206.784766 \r\n",
       "L 206.446815 205.316845 \r\n",
       "L 206.753016 207.002146 \r\n",
       "L 207.059217 204.338208 \r\n",
       "L 207.365418 203.769201 \r\n",
       "L 207.671619 204.492135 \r\n",
       "L 207.977819 204.775193 \r\n",
       "L 208.28402 202.922323 \r\n",
       "L 208.896422 206.244863 \r\n",
       "L 209.815025 203.441155 \r\n",
       "L 210.427426 200.336787 \r\n",
       "L 210.733627 199.576985 \r\n",
       "L 211.346029 196.027576 \r\n",
       "L 211.65223 197.939455 \r\n",
       "L 211.95843 198.130408 \r\n",
       "L 212.264631 201.448473 \r\n",
       "L 212.570832 199.519825 \r\n",
       "L 212.877033 204.44029 \r\n",
       "L 213.183234 203.717578 \r\n",
       "L 213.489435 206.28628 \r\n",
       "L 213.795635 204.422751 \r\n",
       "L 214.101836 197.545815 \r\n",
       "L 214.408037 194.866321 \r\n",
       "L 214.714238 195.469911 \r\n",
       "L 215.020439 201.424526 \r\n",
       "L 215.32664 201.429218 \r\n",
       "L 215.632841 199.398213 \r\n",
       "L 215.939041 200.126047 \r\n",
       "L 216.245242 199.813609 \r\n",
       "L 216.551443 202.948656 \r\n",
       "L 216.857644 197.869885 \r\n",
       "L 217.163845 194.917497 \r\n",
       "L 217.470046 193.074764 \r\n",
       "L 218.082447 186.702081 \r\n",
       "L 218.388648 192.733901 \r\n",
       "L 218.694849 189.947136 \r\n",
       "L 219.00105 197.818628 \r\n",
       "L 219.307251 197.881842 \r\n",
       "L 219.613451 195.694736 \r\n",
       "L 219.919652 194.651117 \r\n",
       "L 220.225853 195.863193 \r\n",
       "L 220.532054 198.255878 \r\n",
       "L 220.838255 197.825912 \r\n",
       "L 221.144456 187.030848 \r\n",
       "L 221.450656 183.118962 \r\n",
       "L 222.063058 191.410308 \r\n",
       "L 222.369259 192.554183 \r\n",
       "L 222.67546 194.20221 \r\n",
       "L 223.287862 177.631909 \r\n",
       "L 223.594062 176.577434 \r\n",
       "L 223.900263 176.263243 \r\n",
       "L 224.206464 188.082099 \r\n",
       "L 224.512665 191.017581 \r\n",
       "L 224.818866 192.594481 \r\n",
       "L 225.125067 197.095566 \r\n",
       "L 225.431267 194.264321 \r\n",
       "L 225.737468 193.24854 \r\n",
       "L 226.34987 182.318823 \r\n",
       "L 226.656071 179.89954 \r\n",
       "L 226.962272 189.530963 \r\n",
       "L 227.268472 185.569615 \r\n",
       "L 227.574673 184.959796 \r\n",
       "L 227.880874 182.482415 \r\n",
       "L 228.187075 178.465549 \r\n",
       "L 228.493276 180.927057 \r\n",
       "L 228.799477 177.823113 \r\n",
       "L 229.105678 176.892146 \r\n",
       "L 229.411878 181.377182 \r\n",
       "L 230.02428 187.222528 \r\n",
       "L 230.330481 186.272607 \r\n",
       "L 230.636682 180.196621 \r\n",
       "L 230.942883 183.857961 \r\n",
       "L 231.249083 182.912471 \r\n",
       "L 231.555284 177.951644 \r\n",
       "L 232.167686 180.808972 \r\n",
       "L 232.473887 177.843809 \r\n",
       "L 232.780088 176.966422 \r\n",
       "L 233.086288 177.36988 \r\n",
       "L 233.392489 172.763707 \r\n",
       "L 233.69869 172.460581 \r\n",
       "L 234.004891 176.665003 \r\n",
       "L 234.311092 177.424424 \r\n",
       "L 234.617293 183.530986 \r\n",
       "L 234.923494 182.811431 \r\n",
       "L 235.229694 182.729022 \r\n",
       "L 235.535895 174.651537 \r\n",
       "L 235.842096 175.368221 \r\n",
       "L 236.148297 180.2385 \r\n",
       "L 236.454498 180.834406 \r\n",
       "L 237.066899 175.568471 \r\n",
       "L 237.3731 171.136088 \r\n",
       "L 237.679301 169.919718 \r\n",
       "L 237.985502 173.483243 \r\n",
       "L 238.291703 170.549522 \r\n",
       "L 238.597904 169.865267 \r\n",
       "L 238.904104 171.352909 \r\n",
       "L 239.210305 170.238039 \r\n",
       "L 239.516506 175.127945 \r\n",
       "L 239.822707 182.597828 \r\n",
       "L 240.128908 177.841206 \r\n",
       "L 240.435109 175.159826 \r\n",
       "L 240.74131 167.771256 \r\n",
       "L 241.04751 169.46092 \r\n",
       "L 241.353711 164.346521 \r\n",
       "L 241.659912 164.779179 \r\n",
       "L 241.966113 156.485295 \r\n",
       "L 242.272314 168.239193 \r\n",
       "L 242.578515 155.09127 \r\n",
       "L 242.884715 155.846225 \r\n",
       "L 243.497117 166.869019 \r\n",
       "L 243.803318 165.936823 \r\n",
       "L 244.109519 170.554548 \r\n",
       "L 244.41572 168.117736 \r\n",
       "L 244.72192 157.1439 \r\n",
       "L 245.028121 160.711281 \r\n",
       "L 245.334322 153.533244 \r\n",
       "L 245.640523 152.252422 \r\n",
       "L 245.946724 143.614743 \r\n",
       "L 246.252925 146.990339 \r\n",
       "L 246.559125 154.671464 \r\n",
       "L 246.865326 146.067458 \r\n",
       "L 247.171527 142.817857 \r\n",
       "L 247.477728 141.446452 \r\n",
       "L 247.783929 141.937358 \r\n",
       "L 248.09013 150.705664 \r\n",
       "L 248.396331 152.622841 \r\n",
       "L 248.702531 148.163973 \r\n",
       "L 249.008732 148.915615 \r\n",
       "L 249.314933 147.51193 \r\n",
       "L 249.621134 146.985447 \r\n",
       "L 249.927335 141.833426 \r\n",
       "L 250.233536 140.279174 \r\n",
       "L 250.539736 148.989214 \r\n",
       "L 250.845937 144.327093 \r\n",
       "L 251.152138 147.629929 \r\n",
       "L 251.458339 148.75661 \r\n",
       "L 251.76454 146.268513 \r\n",
       "L 252.376941 152.435337 \r\n",
       "L 253.295544 135.785926 \r\n",
       "L 253.907946 131.345515 \r\n",
       "L 254.214147 135.981674 \r\n",
       "L 254.520347 131.808754 \r\n",
       "L 254.826548 133.605849 \r\n",
       "L 255.132749 139.777202 \r\n",
       "L 255.43895 139.836598 \r\n",
       "L 255.745151 138.272795 \r\n",
       "L 256.357552 148.69061 \r\n",
       "L 256.663753 144.608672 \r\n",
       "L 256.969954 149.446613 \r\n",
       "L 257.276155 149.532929 \r\n",
       "L 257.582356 138.22707 \r\n",
       "L 258.194757 132.009053 \r\n",
       "L 258.500958 140.150324 \r\n",
       "L 258.807159 141.023992 \r\n",
       "L 259.11336 133.989591 \r\n",
       "L 259.725762 136.631571 \r\n",
       "L 260.031963 135.050751 \r\n",
       "L 260.338163 138.35283 \r\n",
       "L 260.644364 135.633275 \r\n",
       "L 260.950565 131.633064 \r\n",
       "L 261.256766 130.161325 \r\n",
       "L 261.869168 132.414223 \r\n",
       "L 262.175368 134.501067 \r\n",
       "L 262.481569 144.683462 \r\n",
       "L 262.78777 142.303502 \r\n",
       "L 263.093971 136.45523 \r\n",
       "L 263.706373 131.816091 \r\n",
       "L 264.012573 128.872127 \r\n",
       "L 264.318774 129.627093 \r\n",
       "L 264.624975 117.72605 \r\n",
       "L 264.931176 114.937458 \r\n",
       "L 265.237377 113.384964 \r\n",
       "L 265.543578 113.985395 \r\n",
       "L 265.849779 113.778875 \r\n",
       "L 266.46218 125.643126 \r\n",
       "L 266.768381 127.30062 \r\n",
       "L 267.074582 131.102867 \r\n",
       "L 267.380783 122.754419 \r\n",
       "L 267.686984 121.031593 \r\n",
       "L 267.993184 120.820791 \r\n",
       "L 268.299385 121.321203 \r\n",
       "L 268.605586 112.396907 \r\n",
       "L 268.911787 112.261654 \r\n",
       "L 269.217988 107.317802 \r\n",
       "L 269.524189 110.66356 \r\n",
       "L 269.830389 107.691143 \r\n",
       "L 270.13659 106.021028 \r\n",
       "L 270.748992 124.019382 \r\n",
       "L 271.055193 126.077851 \r\n",
       "L 271.361394 126.503144 \r\n",
       "L 271.973795 110.365234 \r\n",
       "L 272.279996 106.497951 \r\n",
       "L 272.586197 109.869698 \r\n",
       "L 272.892398 122.296023 \r\n",
       "L 273.5048 110.192989 \r\n",
       "L 273.811 108.383173 \r\n",
       "L 274.117201 109.149771 \r\n",
       "L 274.423402 106.171059 \r\n",
       "L 274.729603 105.430189 \r\n",
       "L 275.035804 107.292447 \r\n",
       "L 275.648205 100.032053 \r\n",
       "L 275.954406 108.921527 \r\n",
       "L 276.260607 110.120425 \r\n",
       "L 276.566808 112.968049 \r\n",
       "L 276.873009 114.270202 \r\n",
       "L 277.17921 111.988782 \r\n",
       "L 277.48541 108.676948 \r\n",
       "L 277.791611 109.629605 \r\n",
       "L 278.097812 118.937782 \r\n",
       "L 278.404013 124.773519 \r\n",
       "L 278.710214 121.817963 \r\n",
       "L 279.016415 122.747699 \r\n",
       "L 279.322616 117.457652 \r\n",
       "L 279.628816 107.935158 \r\n",
       "L 280.241218 95.092748 \r\n",
       "L 280.547419 100.251285 \r\n",
       "L 280.85362 100.589094 \r\n",
       "L 281.466021 107.117468 \r\n",
       "L 281.772222 109.55603 \r\n",
       "L 282.078423 109.046576 \r\n",
       "L 282.384624 112.524668 \r\n",
       "L 282.690825 104.85857 \r\n",
       "L 282.997026 106.752964 \r\n",
       "L 283.609427 100.81086 \r\n",
       "L 283.915628 107.327833 \r\n",
       "L 284.221829 108.469517 \r\n",
       "L 284.834231 103.432947 \r\n",
       "L 285.140432 103.817886 \r\n",
       "L 285.446632 111.482864 \r\n",
       "L 285.752833 109.314202 \r\n",
       "L 286.059034 112.163743 \r\n",
       "L 286.365235 104.750564 \r\n",
       "L 286.671436 100.611824 \r\n",
       "L 286.977637 107.426776 \r\n",
       "L 287.283837 99.262492 \r\n",
       "L 287.590038 97.769272 \r\n",
       "L 287.896239 97.891253 \r\n",
       "L 288.20244 102.193422 \r\n",
       "L 288.508641 110.565159 \r\n",
       "L 288.814842 110.627476 \r\n",
       "L 289.121042 113.706758 \r\n",
       "L 289.427243 109.24359 \r\n",
       "L 289.733444 109.3377 \r\n",
       "L 290.039645 102.190051 \r\n",
       "L 290.345846 101.878648 \r\n",
       "L 290.652047 105.748647 \r\n",
       "L 290.958247 101.709614 \r\n",
       "L 291.264448 110.985749 \r\n",
       "L 291.570649 106.495374 \r\n",
       "L 291.87685 97.550382 \r\n",
       "L 292.183051 102.892081 \r\n",
       "L 292.489252 102.562334 \r\n",
       "L 292.795453 98.661513 \r\n",
       "L 293.101653 112.842149 \r\n",
       "L 293.407854 107.455862 \r\n",
       "L 293.714055 108.240331 \r\n",
       "L 294.020256 104.084944 \r\n",
       "L 294.326457 106.586173 \r\n",
       "L 294.938858 115.811946 \r\n",
       "L 295.245059 121.127144 \r\n",
       "L 295.55126 108.155758 \r\n",
       "L 295.857461 105.14254 \r\n",
       "L 296.163662 107.351522 \r\n",
       "L 296.469863 107.704732 \r\n",
       "L 296.776063 112.487204 \r\n",
       "L 297.388465 107.19664 \r\n",
       "L 297.694666 106.276866 \r\n",
       "L 298.000867 102.143801 \r\n",
       "L 298.307068 105.67679 \r\n",
       "L 298.613269 118.991525 \r\n",
       "L 298.919469 109.706278 \r\n",
       "L 299.22567 115.92636 \r\n",
       "L 299.531871 104.698101 \r\n",
       "L 299.838072 102.928734 \r\n",
       "L 300.144273 116.199605 \r\n",
       "L 301.062875 102.933185 \r\n",
       "L 301.369076 102.096449 \r\n",
       "L 301.675277 102.064343 \r\n",
       "L 301.981478 120.210237 \r\n",
       "L 302.287679 116.484594 \r\n",
       "L 302.593879 115.218009 \r\n",
       "L 302.90008 102.733225 \r\n",
       "L 303.206281 98.837029 \r\n",
       "L 303.512482 100.594881 \r\n",
       "L 303.818683 112.750187 \r\n",
       "L 304.124884 117.087026 \r\n",
       "L 304.431085 111.279503 \r\n",
       "L 305.043486 106.855969 \r\n",
       "L 305.349687 108.736874 \r\n",
       "L 305.655888 108.473339 \r\n",
       "L 305.962089 109.017533 \r\n",
       "L 306.26829 105.36182 \r\n",
       "L 306.880691 120.945979 \r\n",
       "L 307.186892 124.965423 \r\n",
       "L 307.493093 122.789168 \r\n",
       "L 307.799294 121.612393 \r\n",
       "L 308.105495 115.662158 \r\n",
       "L 308.717896 100.342736 \r\n",
       "L 309.024097 102.625357 \r\n",
       "L 309.330298 110.026688 \r\n",
       "L 309.636499 121.315034 \r\n",
       "L 309.9427 124.695293 \r\n",
       "L 310.248901 126.624388 \r\n",
       "L 310.555101 134.777344 \r\n",
       "L 310.861302 126.056284 \r\n",
       "L 311.167503 124.506241 \r\n",
       "L 311.473704 124.187019 \r\n",
       "L 311.779905 122.585689 \r\n",
       "L 312.086106 127.804395 \r\n",
       "L 312.698507 122.023759 \r\n",
       "L 313.004708 122.245117 \r\n",
       "L 313.310909 119.26309 \r\n",
       "L 313.61711 122.715146 \r\n",
       "L 313.923311 122.492286 \r\n",
       "L 314.229511 120.774862 \r\n",
       "L 314.535712 128.490424 \r\n",
       "L 314.841913 128.215536 \r\n",
       "L 315.148114 119.809072 \r\n",
       "L 315.454315 125.651014 \r\n",
       "L 315.760516 125.066232 \r\n",
       "L 316.066716 123.163434 \r\n",
       "L 316.679118 126.875384 \r\n",
       "L 316.985319 134.589554 \r\n",
       "L 317.29152 130.883543 \r\n",
       "L 317.597721 134.667749 \r\n",
       "L 317.903922 133.124466 \r\n",
       "L 318.210122 128.979175 \r\n",
       "L 318.516323 129.063709 \r\n",
       "L 318.822524 127.695087 \r\n",
       "L 319.128725 145.262994 \r\n",
       "L 319.434926 147.045357 \r\n",
       "L 320.353528 123.797 \r\n",
       "L 320.659729 133.254686 \r\n",
       "L 320.96593 148.640269 \r\n",
       "L 321.578332 140.987647 \r\n",
       "L 321.884532 143.864201 \r\n",
       "L 322.190733 143.681387 \r\n",
       "L 322.496934 136.417193 \r\n",
       "L 322.803135 141.977515 \r\n",
       "L 323.109336 141.834098 \r\n",
       "L 323.415537 142.069366 \r\n",
       "L 323.721738 136.018466 \r\n",
       "L 324.027938 133.515926 \r\n",
       "L 324.334139 139.659817 \r\n",
       "L 324.64034 139.995291 \r\n",
       "L 325.252742 154.31318 \r\n",
       "L 325.558943 156.575976 \r\n",
       "L 325.865143 160.614867 \r\n",
       "L 326.171344 152.611923 \r\n",
       "L 326.477545 154.976447 \r\n",
       "L 326.783746 160.060117 \r\n",
       "L 327.089947 157.439177 \r\n",
       "L 327.396148 155.780691 \r\n",
       "L 327.702348 157.784545 \r\n",
       "L 328.008549 152.797009 \r\n",
       "L 328.31475 164.307441 \r\n",
       "L 328.620951 164.23517 \r\n",
       "L 328.927152 154.563274 \r\n",
       "L 329.233353 151.115544 \r\n",
       "L 329.539554 156.514591 \r\n",
       "L 329.845754 152.244 \r\n",
       "L 330.151955 156.402389 \r\n",
       "L 330.458156 158.284631 \r\n",
       "L 330.764357 165.631413 \r\n",
       "L 331.070558 167.818339 \r\n",
       "L 331.376759 165.326507 \r\n",
       "L 331.682959 164.034273 \r\n",
       "L 331.98916 167.300368 \r\n",
       "L 332.295361 164.130156 \r\n",
       "L 332.601562 167.937638 \r\n",
       "L 332.907763 158.265662 \r\n",
       "L 333.213964 157.573867 \r\n",
       "L 333.520164 167.299748 \r\n",
       "L 333.826365 169.833162 \r\n",
       "L 334.132566 167.251984 \r\n",
       "L 334.438767 163.194073 \r\n",
       "L 334.744968 162.235663 \r\n",
       "L 335.051169 163.136203 \r\n",
       "L 335.35737 169.899556 \r\n",
       "L 335.66357 173.114248 \r\n",
       "L 335.969771 168.022476 \r\n",
       "L 336.275972 171.414631 \r\n",
       "L 336.582173 161.278276 \r\n",
       "L 336.888374 170.593876 \r\n",
       "L 337.194575 173.979371 \r\n",
       "L 337.500775 170.609601 \r\n",
       "L 337.806976 170.715308 \r\n",
       "L 338.113177 173.276026 \r\n",
       "L 338.419378 171.517978 \r\n",
       "L 338.725579 167.845647 \r\n",
       "L 339.03178 168.070596 \r\n",
       "L 339.33798 164.853404 \r\n",
       "L 339.644181 172.643605 \r\n",
       "L 340.256583 177.322155 \r\n",
       "L 340.562784 180.461417 \r\n",
       "L 341.175185 175.271501 \r\n",
       "L 341.481386 175.419124 \r\n",
       "L 341.787587 174.022871 \r\n",
       "L 342.093788 174.32899 \r\n",
       "L 342.70619 183.400141 \r\n",
       "L 343.012391 179.743801 \r\n",
       "L 343.318591 180.785864 \r\n",
       "L 343.624792 177.332926 \r\n",
       "L 343.624792 177.332926 \r\n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_16\">\r\n",
       "    <path clip-path=\"url(#p04d49646fa)\" d=\"M 52.733993 153.071449 \r\n",
       "L 53.040194 171.716234 \r\n",
       "L 53.346395 174.64234 \r\n",
       "L 53.652595 172.606936 \r\n",
       "L 54.877399 142.741056 \r\n",
       "L 55.1836 164.254594 \r\n",
       "L 55.4898 169.335574 \r\n",
       "L 55.796001 149.066486 \r\n",
       "L 56.408403 159.481535 \r\n",
       "L 57.020805 158.797161 \r\n",
       "L 57.327005 169.394225 \r\n",
       "L 57.633206 149.638211 \r\n",
       "L 57.939407 164.271092 \r\n",
       "L 58.551809 146.225461 \r\n",
       "L 58.85801 146.890643 \r\n",
       "L 59.164211 145.317639 \r\n",
       "L 59.470411 138.8188 \r\n",
       "L 59.776612 143.373822 \r\n",
       "L 60.082813 122.204078 \r\n",
       "L 60.389014 118.873548 \r\n",
       "L 61.001416 107.370994 \r\n",
       "L 61.307616 108.244952 \r\n",
       "L 61.920018 138.496748 \r\n",
       "L 62.226219 137.748175 \r\n",
       "L 62.53242 133.367444 \r\n",
       "L 62.838621 139.49205 \r\n",
       "L 63.144821 132.453709 \r\n",
       "L 63.451022 121.76799 \r\n",
       "L 63.757223 125.16084 \r\n",
       "L 64.063424 126.409138 \r\n",
       "L 64.369625 118.764682 \r\n",
       "L 64.675826 124.970876 \r\n",
       "L 64.982027 112.527163 \r\n",
       "L 65.288227 107.780845 \r\n",
       "L 65.594428 94.772815 \r\n",
       "L 66.20683 116.213489 \r\n",
       "L 66.513031 132.627572 \r\n",
       "L 67.125432 86.275721 \r\n",
       "L 68.044035 103.686256 \r\n",
       "L 68.350236 94.821581 \r\n",
       "L 68.656437 73.477503 \r\n",
       "L 68.962637 80.009514 \r\n",
       "L 69.268838 72.137248 \r\n",
       "L 69.575039 84.339498 \r\n",
       "L 69.88124 91.219859 \r\n",
       "L 70.187441 89.918764 \r\n",
       "L 70.493642 99.60617 \r\n",
       "L 70.799843 118.653756 \r\n",
       "L 71.106043 99.916675 \r\n",
       "L 71.412244 102.942162 \r\n",
       "L 71.718445 84.64303 \r\n",
       "L 72.024646 79.081813 \r\n",
       "L 72.330847 99.679511 \r\n",
       "L 72.637048 97.70706 \r\n",
       "L 72.943248 93.202957 \r\n",
       "L 73.249449 92.950681 \r\n",
       "L 73.55565 94.622766 \r\n",
       "L 73.861851 87.822097 \r\n",
       "L 74.168052 87.070303 \r\n",
       "L 74.474253 94.982702 \r\n",
       "L 75.086654 101.414958 \r\n",
       "L 75.392855 111.600941 \r\n",
       "L 75.699056 110.635216 \r\n",
       "L 76.311458 67.061873 \r\n",
       "L 76.617659 57.567893 \r\n",
       "L 76.923859 65.939947 \r\n",
       "L 77.23006 59.614631 \r\n",
       "L 77.536261 69.077823 \r\n",
       "L 77.842462 69.842816 \r\n",
       "L 78.148663 61.323126 \r\n",
       "L 78.454864 58.182439 \r\n",
       "L 78.761064 58.389966 \r\n",
       "L 79.067265 64.739961 \r\n",
       "L 79.373466 65.325402 \r\n",
       "L 79.679667 52.409139 \r\n",
       "L 79.985868 70.107821 \r\n",
       "L 80.292069 65.298936 \r\n",
       "L 80.598269 80.263482 \r\n",
       "L 80.90447 85.179697 \r\n",
       "L 81.516872 63.438327 \r\n",
       "L 81.823073 63.33413 \r\n",
       "L 82.129274 65.124548 \r\n",
       "L 82.435474 70.591027 \r\n",
       "L 82.741675 71.076002 \r\n",
       "L 83.047876 72.191455 \r\n",
       "L 83.354077 80.989791 \r\n",
       "L 83.660278 69.207931 \r\n",
       "L 83.966479 43.592892 \r\n",
       "L 84.27268 31.526295 \r\n",
       "L 84.57888 38.23318 \r\n",
       "L 84.885081 56.400438 \r\n",
       "L 85.191282 66.234022 \r\n",
       "L 85.497483 68.695153 \r\n",
       "L 85.803684 74.646764 \r\n",
       "L 86.109885 76.519313 \r\n",
       "L 86.416085 72.863774 \r\n",
       "L 86.722286 73.259963 \r\n",
       "L 87.028487 63.535349 \r\n",
       "L 87.334688 58.063976 \r\n",
       "L 87.640889 38.808156 \r\n",
       "L 87.94709 45.093011 \r\n",
       "L 88.25329 58.182751 \r\n",
       "L 88.559491 60.496802 \r\n",
       "L 88.865692 82.916365 \r\n",
       "L 89.171893 69.586314 \r\n",
       "L 89.478094 47.190059 \r\n",
       "L 90.090496 57.619549 \r\n",
       "L 90.396696 52.265997 \r\n",
       "L 90.702897 62.149832 \r\n",
       "L 91.009098 47.808978 \r\n",
       "L 91.315299 39.532201 \r\n",
       "L 91.6215 42.414044 \r\n",
       "L 92.233901 39.533147 \r\n",
       "L 92.540102 38.616396 \r\n",
       "L 92.846303 30.071212 \r\n",
       "L 93.458705 70.110433 \r\n",
       "L 93.764906 66.970726 \r\n",
       "L 94.071106 67.35016 \r\n",
       "L 94.377307 86.208402 \r\n",
       "L 94.683508 72.004285 \r\n",
       "L 94.989709 67.686501 \r\n",
       "L 95.29591 59.014386 \r\n",
       "L 95.602111 54.646213 \r\n",
       "L 95.908312 55.792374 \r\n",
       "L 96.214512 58.404465 \r\n",
       "L 96.520713 54.66611 \r\n",
       "L 96.826914 48.611856 \r\n",
       "L 97.133115 46.123408 \r\n",
       "L 97.439316 47.693569 \r\n",
       "L 97.745517 49.889687 \r\n",
       "L 98.051717 42.61206 \r\n",
       "L 98.357918 49.064985 \r\n",
       "L 98.664119 42.198612 \r\n",
       "L 98.97032 45.777339 \r\n",
       "L 99.276521 52.847959 \r\n",
       "L 99.582722 49.391426 \r\n",
       "L 100.195123 37.485706 \r\n",
       "L 100.501324 35.328142 \r\n",
       "L 100.807525 67.119074 \r\n",
       "L 101.113726 47.546766 \r\n",
       "L 101.419927 43.174125 \r\n",
       "L 101.726128 46.768359 \r\n",
       "L 102.032328 39.943801 \r\n",
       "L 102.338529 58.436641 \r\n",
       "L 102.64473 52.860481 \r\n",
       "L 103.257132 69.359767 \r\n",
       "L 103.563333 65.339772 \r\n",
       "L 103.869533 67.810761 \r\n",
       "L 104.481935 76.622807 \r\n",
       "L 105.094337 45.912028 \r\n",
       "L 105.400538 45.424892 \r\n",
       "L 105.706738 38.832271 \r\n",
       "L 106.012939 53.254049 \r\n",
       "L 106.31914 33.792109 \r\n",
       "L 106.625341 48.074521 \r\n",
       "L 106.931542 45.757277 \r\n",
       "L 107.237743 52.796086 \r\n",
       "L 107.543943 52.244712 \r\n",
       "L 108.156345 61.065791 \r\n",
       "L 108.462546 53.775565 \r\n",
       "L 108.768747 50.112234 \r\n",
       "L 109.381149 25.301314 \r\n",
       "L 109.687349 20.854942 \r\n",
       "L 109.99355 20.583636 \r\n",
       "L 110.299751 28.006877 \r\n",
       "L 110.605952 22.578379 \r\n",
       "L 110.912153 41.516722 \r\n",
       "L 111.218354 34.904949 \r\n",
       "L 111.524554 33.74342 \r\n",
       "L 111.830755 25.991847 \r\n",
       "L 112.136956 30.324208 \r\n",
       "L 112.443157 47.505002 \r\n",
       "L 112.749358 47.867237 \r\n",
       "L 113.055559 40.17375 \r\n",
       "L 113.66796 66.170625 \r\n",
       "L 113.974161 76.648032 \r\n",
       "L 114.586563 51.935218 \r\n",
       "L 114.892764 39.555057 \r\n",
       "L 115.505165 62.662436 \r\n",
       "L 115.811366 67.453498 \r\n",
       "L 116.117567 90.27063 \r\n",
       "L 116.423768 81.093294 \r\n",
       "L 116.729969 85.117888 \r\n",
       "L 117.03617 76.136044 \r\n",
       "L 117.34237 58.615229 \r\n",
       "L 117.648571 68.498022 \r\n",
       "L 117.954772 60.027359 \r\n",
       "L 118.567174 73.429518 \r\n",
       "L 118.873375 56.631194 \r\n",
       "L 119.485776 82.945573 \r\n",
       "L 119.791977 69.045787 \r\n",
       "L 120.098178 71.7255 \r\n",
       "L 120.404379 78.299309 \r\n",
       "L 120.71058 68.630941 \r\n",
       "L 121.016781 69.805122 \r\n",
       "L 121.322981 84.19351 \r\n",
       "L 121.629182 81.50827 \r\n",
       "L 121.935383 65.858372 \r\n",
       "L 122.241584 65.408921 \r\n",
       "L 123.466387 96.503975 \r\n",
       "L 123.772588 89.736757 \r\n",
       "L 124.078789 73.331585 \r\n",
       "L 124.38499 63.391088 \r\n",
       "L 124.691191 60.727254 \r\n",
       "L 125.303592 74.187187 \r\n",
       "L 125.915994 78.76175 \r\n",
       "L 126.528396 100.05369 \r\n",
       "L 127.140797 70.260091 \r\n",
       "L 127.446998 84.700318 \r\n",
       "L 128.0594 99.221283 \r\n",
       "L 128.365601 112.201676 \r\n",
       "L 128.671802 102.629609 \r\n",
       "L 129.590404 97.170597 \r\n",
       "L 129.896605 101.929024 \r\n",
       "L 130.509007 102.667794 \r\n",
       "L 130.815207 101.875333 \r\n",
       "L 131.121408 110.00381 \r\n",
       "L 131.427609 104.498661 \r\n",
       "L 131.73381 101.608423 \r\n",
       "L 132.040011 101.623391 \r\n",
       "L 132.346212 96.448961 \r\n",
       "L 132.652412 110.553658 \r\n",
       "L 132.958613 109.408299 \r\n",
       "L 133.264814 114.807068 \r\n",
       "L 133.571015 116.293324 \r\n",
       "L 133.877216 110.427337 \r\n",
       "L 134.183417 123.220756 \r\n",
       "L 134.489618 114.739029 \r\n",
       "L 134.795818 123.084097 \r\n",
       "L 135.102019 107.868057 \r\n",
       "L 135.40822 111.53364 \r\n",
       "L 135.714421 94.158617 \r\n",
       "L 136.020622 96.559206 \r\n",
       "L 136.326823 106.724373 \r\n",
       "L 136.633023 109.125861 \r\n",
       "L 136.939224 122.590947 \r\n",
       "L 137.245425 116.512232 \r\n",
       "L 137.551626 126.910393 \r\n",
       "L 137.857827 142.914529 \r\n",
       "L 138.164028 135.966801 \r\n",
       "L 138.470228 152.605911 \r\n",
       "L 138.776429 138.071759 \r\n",
       "L 139.08263 148.201025 \r\n",
       "L 139.388831 148.731823 \r\n",
       "L 139.695032 150.02779 \r\n",
       "L 140.001233 148.844385 \r\n",
       "L 140.307434 161.753782 \r\n",
       "L 140.613634 149.900159 \r\n",
       "L 140.919835 142.794931 \r\n",
       "L 141.226036 149.310783 \r\n",
       "L 141.532237 151.997624 \r\n",
       "L 141.838438 149.865218 \r\n",
       "L 142.144639 145.886802 \r\n",
       "L 142.450839 158.095229 \r\n",
       "L 142.75704 153.675861 \r\n",
       "L 143.063241 171.367257 \r\n",
       "L 143.369442 174.569138 \r\n",
       "L 143.675643 170.516692 \r\n",
       "L 143.981844 169.783358 \r\n",
       "L 144.288044 157.285102 \r\n",
       "L 144.594245 154.55858 \r\n",
       "L 144.900446 167.423395 \r\n",
       "L 145.206647 170.977421 \r\n",
       "L 145.512848 170.329642 \r\n",
       "L 145.819049 153.45962 \r\n",
       "L 146.12525 156.485414 \r\n",
       "L 146.43145 152.864547 \r\n",
       "L 146.737651 169.805988 \r\n",
       "L 147.043852 163.110772 \r\n",
       "L 147.350053 162.315038 \r\n",
       "L 147.656254 172.629646 \r\n",
       "L 147.962455 177.68214 \r\n",
       "L 148.268655 175.279024 \r\n",
       "L 148.574856 174.066627 \r\n",
       "L 148.881057 176.064625 \r\n",
       "L 149.187258 170.904347 \r\n",
       "L 149.493459 168.922693 \r\n",
       "L 149.79966 169.571838 \r\n",
       "L 150.10586 169.060698 \r\n",
       "L 150.412061 173.663988 \r\n",
       "L 151.024463 170.887946 \r\n",
       "L 151.330664 163.240839 \r\n",
       "L 151.636865 171.494734 \r\n",
       "L 151.943065 170.79224 \r\n",
       "L 152.249266 173.263546 \r\n",
       "L 152.555467 172.306635 \r\n",
       "L 152.861668 154.931796 \r\n",
       "L 153.167869 164.513206 \r\n",
       "L 153.47407 161.975597 \r\n",
       "L 153.780271 172.378995 \r\n",
       "L 154.086471 171.310048 \r\n",
       "L 154.392672 165.678525 \r\n",
       "L 154.698873 152.992262 \r\n",
       "L 155.005074 154.212845 \r\n",
       "L 155.311275 173.731688 \r\n",
       "L 155.923676 184.266613 \r\n",
       "L 156.842279 177.277816 \r\n",
       "L 157.14848 176.686693 \r\n",
       "L 157.454681 175.299345 \r\n",
       "L 158.067082 180.492924 \r\n",
       "L 158.373283 180.371249 \r\n",
       "L 158.679484 175.016514 \r\n",
       "L 159.291886 185.186702 \r\n",
       "L 159.598087 182.84214 \r\n",
       "L 159.904287 184.402862 \r\n",
       "L 160.210488 188.729002 \r\n",
       "L 160.516689 185.481778 \r\n",
       "L 160.82289 186.425904 \r\n",
       "L 161.129091 189.303107 \r\n",
       "L 161.435292 184.969661 \r\n",
       "L 162.047693 195.679533 \r\n",
       "L 162.353894 191.292199 \r\n",
       "L 162.660095 191.588749 \r\n",
       "L 162.966296 195.122935 \r\n",
       "L 163.578697 198.260672 \r\n",
       "L 163.884898 193.498944 \r\n",
       "L 164.191099 195.603544 \r\n",
       "L 164.4973 189.659537 \r\n",
       "L 164.803501 187.743603 \r\n",
       "L 165.109702 188.550953 \r\n",
       "L 165.415903 188.06619 \r\n",
       "L 165.722103 191.491584 \r\n",
       "L 166.028304 204.628777 \r\n",
       "L 166.334505 203.688762 \r\n",
       "L 166.640706 205.478221 \r\n",
       "L 167.559308 196.179319 \r\n",
       "L 167.865509 196.796274 \r\n",
       "L 168.17171 196.556049 \r\n",
       "L 168.784112 191.12065 \r\n",
       "L 169.090313 194.563842 \r\n",
       "L 169.396513 195.685766 \r\n",
       "L 169.702714 199.149725 \r\n",
       "L 170.315116 200.93634 \r\n",
       "L 170.621317 200.786528 \r\n",
       "L 170.927518 200.29909 \r\n",
       "L 171.233719 200.800934 \r\n",
       "L 171.539919 198.221644 \r\n",
       "L 171.84612 196.95223 \r\n",
       "L 172.152321 201.24748 \r\n",
       "L 172.458522 197.682621 \r\n",
       "L 173.070924 201.029827 \r\n",
       "L 173.377124 203.156537 \r\n",
       "L 173.683325 210.849961 \r\n",
       "L 173.989526 207.569057 \r\n",
       "L 174.295727 207.265754 \r\n",
       "L 174.601928 201.860234 \r\n",
       "L 174.908129 199.180323 \r\n",
       "L 175.214329 203.429382 \r\n",
       "L 175.52053 201.170959 \r\n",
       "L 175.826731 201.599979 \r\n",
       "L 176.132932 204.264522 \r\n",
       "L 176.745334 212.746112 \r\n",
       "L 177.051534 208.38732 \r\n",
       "L 177.357735 205.666571 \r\n",
       "L 177.663936 204.39566 \r\n",
       "L 177.970137 197.84446 \r\n",
       "L 178.276338 204.840681 \r\n",
       "L 178.582539 207.624327 \r\n",
       "L 178.88874 208.287418 \r\n",
       "L 179.19494 212.387787 \r\n",
       "L 179.501141 208.553039 \r\n",
       "L 179.807342 211.149832 \r\n",
       "L 180.113543 210.175959 \r\n",
       "L 180.419744 205.146978 \r\n",
       "L 180.725945 203.300417 \r\n",
       "L 181.338346 205.36651 \r\n",
       "L 181.644547 208.805059 \r\n",
       "L 181.950748 210.100705 \r\n",
       "L 182.256949 210.604389 \r\n",
       "L 182.56315 212.11137 \r\n",
       "L 183.175551 209.647597 \r\n",
       "L 183.481752 204.286116 \r\n",
       "L 183.787953 209.70065 \r\n",
       "L 184.094154 211.856001 \r\n",
       "L 184.400355 218.112954 \r\n",
       "L 184.706556 218.256364 \r\n",
       "L 185.012756 208.364095 \r\n",
       "L 185.318957 207.867223 \r\n",
       "L 185.625158 206.444927 \r\n",
       "L 185.931359 200.752539 \r\n",
       "L 186.23756 207.619611 \r\n",
       "L 186.849961 212.515855 \r\n",
       "L 187.156162 216.974033 \r\n",
       "L 187.768564 205.795358 \r\n",
       "L 188.074765 209.279617 \r\n",
       "L 188.380966 209.570251 \r\n",
       "L 188.687166 213.286393 \r\n",
       "L 189.299568 215.436134 \r\n",
       "L 189.605769 215.185368 \r\n",
       "L 189.91197 208.969286 \r\n",
       "L 190.218171 213.385909 \r\n",
       "L 190.524372 210.877186 \r\n",
       "L 190.830572 214.732898 \r\n",
       "L 191.136773 214.192943 \r\n",
       "L 191.442974 206.988926 \r\n",
       "L 191.749175 212.533153 \r\n",
       "L 192.055376 210.134976 \r\n",
       "L 192.361577 209.562893 \r\n",
       "L 192.667777 205.803593 \r\n",
       "L 192.973978 208.267954 \r\n",
       "L 193.280179 208.874117 \r\n",
       "L 193.58638 208.577583 \r\n",
       "L 193.892581 208.649015 \r\n",
       "L 194.198782 212.355737 \r\n",
       "L 194.504982 209.083662 \r\n",
       "L 194.811183 209.160014 \r\n",
       "L 195.117384 218.160314 \r\n",
       "L 195.423585 218.107218 \r\n",
       "L 195.729786 213.040998 \r\n",
       "L 196.035987 213.151317 \r\n",
       "L 196.342187 210.010283 \r\n",
       "L 196.648388 210.223558 \r\n",
       "L 196.954589 214.138527 \r\n",
       "L 197.26079 215.299236 \r\n",
       "L 197.566991 217.400949 \r\n",
       "L 197.873192 213.414639 \r\n",
       "L 198.791794 207.367865 \r\n",
       "L 199.097995 210.189621 \r\n",
       "L 199.404196 210.912199 \r\n",
       "L 199.710397 207.682053 \r\n",
       "L 200.016598 213.548721 \r\n",
       "L 200.322798 216.238366 \r\n",
       "L 200.628999 213.211729 \r\n",
       "L 200.9352 205.900787 \r\n",
       "L 201.241401 209.633253 \r\n",
       "L 201.547602 210.50994 \r\n",
       "L 201.853803 209.655866 \r\n",
       "L 202.160003 215.643917 \r\n",
       "L 202.466204 216.758389 \r\n",
       "L 202.772405 210.499015 \r\n",
       "L 203.078606 213.17941 \r\n",
       "L 203.384807 208.364806 \r\n",
       "L 203.691008 206.983867 \r\n",
       "L 203.997209 208.54083 \r\n",
       "L 204.303409 213.655513 \r\n",
       "L 204.915811 214.345594 \r\n",
       "L 205.222012 208.325177 \r\n",
       "L 205.528213 218.228982 \r\n",
       "L 205.834414 217.769336 \r\n",
       "L 206.140614 208.741667 \r\n",
       "L 206.753016 203.367526 \r\n",
       "L 207.059217 206.755176 \r\n",
       "L 207.365418 204.579672 \r\n",
       "L 207.671619 206.52806 \r\n",
       "L 207.977819 211.731612 \r\n",
       "L 208.590221 200.954705 \r\n",
       "L 209.202623 212.110629 \r\n",
       "L 209.508824 210.333079 \r\n",
       "L 209.815025 209.550363 \r\n",
       "L 210.121225 206.606247 \r\n",
       "L 210.427426 208.950808 \r\n",
       "L 210.733627 208.395121 \r\n",
       "L 211.039828 210.268359 \r\n",
       "L 211.346029 208.658568 \r\n",
       "L 211.65223 210.507623 \r\n",
       "L 211.95843 207.586073 \r\n",
       "L 212.264631 206.966209 \r\n",
       "L 212.570832 207.761711 \r\n",
       "L 212.877033 208.069934 \r\n",
       "L 213.183234 206.036989 \r\n",
       "L 213.795635 209.681056 \r\n",
       "L 214.714238 206.608156 \r\n",
       "L 215.32664 203.210559 \r\n",
       "L 215.632841 202.38148 \r\n",
       "L 216.245242 198.497025 \r\n",
       "L 216.551443 200.595735 \r\n",
       "L 216.857644 200.801201 \r\n",
       "L 217.163845 204.43434 \r\n",
       "L 217.470046 202.315737 \r\n",
       "L 217.776246 207.71045 \r\n",
       "L 218.082447 206.911585 \r\n",
       "L 218.388648 209.724026 \r\n",
       "L 218.694849 207.67932 \r\n",
       "L 219.00105 200.146801 \r\n",
       "L 219.307251 197.225212 \r\n",
       "L 219.613451 197.895498 \r\n",
       "L 219.919652 204.415503 \r\n",
       "L 220.225853 204.406461 \r\n",
       "L 220.532054 202.179082 \r\n",
       "L 220.838255 202.985359 \r\n",
       "L 221.144456 202.643362 \r\n",
       "L 221.450656 206.075486 \r\n",
       "L 221.756857 200.504376 \r\n",
       "L 222.063058 197.278325 \r\n",
       "L 222.369259 195.269569 \r\n",
       "L 222.981661 188.292147 \r\n",
       "L 223.287862 194.909772 \r\n",
       "L 223.594062 191.845836 \r\n",
       "L 223.900263 200.469263 \r\n",
       "L 224.206464 200.529618 \r\n",
       "L 224.512665 198.128699 \r\n",
       "L 224.818866 196.990998 \r\n",
       "L 225.125067 198.325208 \r\n",
       "L 225.431267 200.942412 \r\n",
       "L 225.737468 200.464204 \r\n",
       "L 226.043669 188.633077 \r\n",
       "L 226.34987 184.374597 \r\n",
       "L 226.962272 193.457594 \r\n",
       "L 227.268472 194.697263 \r\n",
       "L 227.574673 196.503733 \r\n",
       "L 228.187075 178.361937 \r\n",
       "L 228.493276 177.226369 \r\n",
       "L 228.799477 176.883812 \r\n",
       "L 229.105678 189.82633 \r\n",
       "L 229.411878 193.024882 \r\n",
       "L 229.718079 194.740953 \r\n",
       "L 230.02428 199.674885 \r\n",
       "L 230.330481 196.567475 \r\n",
       "L 230.636682 195.455099 \r\n",
       "L 231.249083 183.496609 \r\n",
       "L 231.555284 180.856172 \r\n",
       "L 231.861485 191.412265 \r\n",
       "L 232.167686 187.053915 \r\n",
       "L 232.473887 186.387526 \r\n",
       "L 232.780088 183.680189 \r\n",
       "L 233.086288 179.28334 \r\n",
       "L 233.392489 181.98645 \r\n",
       "L 233.69869 178.582719 \r\n",
       "L 234.004891 177.565148 \r\n",
       "L 234.311092 182.482908 \r\n",
       "L 234.923494 188.870825 \r\n",
       "L 235.229694 187.825161 \r\n",
       "L 235.535895 181.169055 \r\n",
       "L 235.842096 185.196042 \r\n",
       "L 236.148297 184.15685 \r\n",
       "L 236.454498 178.710614 \r\n",
       "L 237.066899 181.86075 \r\n",
       "L 237.3731 178.600571 \r\n",
       "L 237.679301 177.645801 \r\n",
       "L 237.985502 178.094266 \r\n",
       "L 238.291703 173.043671 \r\n",
       "L 238.597904 172.718788 \r\n",
       "L 238.904104 177.32907 \r\n",
       "L 239.210305 178.151867 \r\n",
       "L 239.516506 184.837494 \r\n",
       "L 239.822707 184.041615 \r\n",
       "L 240.128908 183.950516 \r\n",
       "L 240.435109 175.101911 \r\n",
       "L 240.74131 175.904976 \r\n",
       "L 241.04751 181.242692 \r\n",
       "L 241.353711 181.879769 \r\n",
       "L 241.966113 176.115371 \r\n",
       "L 242.272314 171.266608 \r\n",
       "L 242.578515 169.938731 \r\n",
       "L 242.884715 173.849248 \r\n",
       "L 243.190916 170.61776 \r\n",
       "L 243.497117 169.869416 \r\n",
       "L 243.803318 171.520794 \r\n",
       "L 244.109519 170.286094 \r\n",
       "L 244.41572 175.644011 \r\n",
       "L 244.72192 183.82333 \r\n",
       "L 245.028121 178.592584 \r\n",
       "L 245.334322 175.663954 \r\n",
       "L 245.640523 165.998102 \r\n",
       "L 245.946724 169.294678 \r\n",
       "L 246.252925 159.474078 \r\n",
       "L 246.559125 160.32389 \r\n",
       "L 246.865326 144.474516 \r\n",
       "L 247.171527 167.050281 \r\n",
       "L 247.477728 141.755872 \r\n",
       "L 247.783929 143.305295 \r\n",
       "L 248.396331 164.343252 \r\n",
       "L 248.702531 162.488882 \r\n",
       "L 249.008732 170.639609 \r\n",
       "L 249.314933 166.664359 \r\n",
       "L 249.621134 145.700869 \r\n",
       "L 249.927335 152.632405 \r\n",
       "L 250.233536 138.860911 \r\n",
       "L 250.539736 136.455675 \r\n",
       "L 250.845937 119.948338 \r\n",
       "L 251.152138 126.502997 \r\n",
       "L 251.458339 141.139305 \r\n",
       "L 251.76454 124.576874 \r\n",
       "L 252.070741 118.466876 \r\n",
       "L 252.376941 115.915627 \r\n",
       "L 252.683142 116.831947 \r\n",
       "L 252.989343 133.573053 \r\n",
       "L 253.295544 137.16556 \r\n",
       "L 253.601745 128.623934 \r\n",
       "L 253.907946 130.130872 \r\n",
       "L 254.214147 127.440625 \r\n",
       "L 254.520347 126.423282 \r\n",
       "L 254.826548 116.570595 \r\n",
       "L 255.132749 113.665016 \r\n",
       "L 255.43895 130.338959 \r\n",
       "L 255.745151 121.302413 \r\n",
       "L 256.051352 127.674531 \r\n",
       "L 256.357552 129.831787 \r\n",
       "L 256.663753 125.044547 \r\n",
       "L 257.276155 136.850812 \r\n",
       "L 258.194757 105.065963 \r\n",
       "L 258.807159 96.629848 \r\n",
       "L 259.11336 105.515921 \r\n",
       "L 259.419561 97.472694 \r\n",
       "L 259.725762 100.963464 \r\n",
       "L 260.031963 112.761281 \r\n",
       "L 260.338163 112.799171 \r\n",
       "L 260.644364 109.799941 \r\n",
       "L 261.256766 129.719177 \r\n",
       "L 261.562967 121.837383 \r\n",
       "L 261.869168 131.163647 \r\n",
       "L 262.175368 131.298905 \r\n",
       "L 262.481569 109.639076 \r\n",
       "L 263.093971 97.916596 \r\n",
       "L 263.400172 113.488471 \r\n",
       "L 263.706373 115.04881 \r\n",
       "L 264.012573 101.599546 \r\n",
       "L 264.624975 106.745012 \r\n",
       "L 264.931176 103.66366 \r\n",
       "L 265.237377 110.008145 \r\n",
       "L 265.543578 104.790748 \r\n",
       "L 265.849779 97.155061 \r\n",
       "L 266.155979 94.381901 \r\n",
       "L 266.768381 98.679441 \r\n",
       "L 267.074582 102.657871 \r\n",
       "L 267.380783 122.129878 \r\n",
       "L 267.686984 117.466702 \r\n",
       "L 267.993184 106.308134 \r\n",
       "L 268.605586 97.541766 \r\n",
       "L 268.911787 91.89669 \r\n",
       "L 269.217988 93.376738 \r\n",
       "L 269.524189 70.600589 \r\n",
       "L 269.830389 65.386195 \r\n",
       "L 270.13659 62.43988 \r\n",
       "L 270.442791 63.579291 \r\n",
       "L 270.748992 63.157981 \r\n",
       "L 271.361394 85.821263 \r\n",
       "L 271.667594 88.919501 \r\n",
       "L 271.973795 96.193423 \r\n",
       "L 272.279996 80.201526 \r\n",
       "L 272.586197 76.996452 \r\n",
       "L 272.892398 76.608541 \r\n",
       "L 273.198599 77.549519 \r\n",
       "L 273.5048 60.450882 \r\n",
       "L 273.811 60.311749 \r\n",
       "L 274.117201 50.847707 \r\n",
       "L 274.423402 57.276266 \r\n",
       "L 274.729603 51.539575 \r\n",
       "L 275.035804 48.389317 \r\n",
       "L 275.648205 82.752537 \r\n",
       "L 275.954406 86.569925 \r\n",
       "L 276.260607 87.399295 \r\n",
       "L 276.873009 56.636938 \r\n",
       "L 277.17921 49.301095 \r\n",
       "L 277.48541 55.777901 \r\n",
       "L 277.791611 79.493604 \r\n",
       "L 278.404013 56.295225 \r\n",
       "L 278.710214 52.927522 \r\n",
       "L 279.016415 54.386761 \r\n",
       "L 279.322616 48.632334 \r\n",
       "L 279.628816 47.268381 \r\n",
       "L 279.935017 50.853416 \r\n",
       "L 280.547419 36.957605 \r\n",
       "L 280.85362 54.021003 \r\n",
       "L 281.159821 56.202595 \r\n",
       "L 281.466021 61.622424 \r\n",
       "L 281.772222 64.116963 \r\n",
       "L 282.078423 59.755012 \r\n",
       "L 282.384624 53.426624 \r\n",
       "L 282.690825 55.292743 \r\n",
       "L 282.997026 73.089028 \r\n",
       "L 283.303226 84.138991 \r\n",
       "L 283.609427 78.425052 \r\n",
       "L 283.915628 80.276923 \r\n",
       "L 284.221829 70.15841 \r\n",
       "L 284.52803 51.96814 \r\n",
       "L 285.140432 27.55662 \r\n",
       "L 285.446632 37.470504 \r\n",
       "L 285.752833 38.038313 \r\n",
       "L 286.365235 50.498991 \r\n",
       "L 286.671436 55.148673 \r\n",
       "L 286.977637 54.141835 \r\n",
       "L 287.283837 60.817846 \r\n",
       "L 287.590038 46.111208 \r\n",
       "L 287.896239 49.822342 \r\n",
       "L 288.20244 42.864049 \r\n",
       "L 288.508641 38.457627 \r\n",
       "L 288.814842 50.945934 \r\n",
       "L 289.121042 53.06491 \r\n",
       "L 289.733444 43.458394 \r\n",
       "L 290.039645 44.227361 \r\n",
       "L 290.345846 58.866351 \r\n",
       "L 290.652047 54.620294 \r\n",
       "L 290.958247 60.115382 \r\n",
       "L 291.264448 45.920445 \r\n",
       "L 291.570649 38.077109 \r\n",
       "L 291.87685 51.151881 \r\n",
       "L 292.183051 35.44159 \r\n",
       "L 292.489252 32.659718 \r\n",
       "L 292.795453 32.938269 \r\n",
       "L 293.101653 41.153767 \r\n",
       "L 293.407854 57.095795 \r\n",
       "L 293.714055 57.142757 \r\n",
       "L 294.020256 63.056855 \r\n",
       "L 294.326457 54.500408 \r\n",
       "L 294.632658 54.725515 \r\n",
       "L 294.938858 41.041369 \r\n",
       "L 295.245059 40.523724 \r\n",
       "L 295.55126 47.921956 \r\n",
       "L 295.857461 40.13701 \r\n",
       "L 296.163662 57.928662 \r\n",
       "L 296.469863 49.254272 \r\n",
       "L 296.776063 32.178604 \r\n",
       "L 297.082264 42.513208 \r\n",
       "L 297.388465 41.82173 \r\n",
       "L 297.694666 34.314865 \r\n",
       "L 298.000867 61.517203 \r\n",
       "L 298.307068 51.07179 \r\n",
       "L 298.613269 52.610643 \r\n",
       "L 298.919469 44.681827 \r\n",
       "L 299.22567 49.5251 \r\n",
       "L 299.838072 67.074282 \r\n",
       "L 300.144273 77.197523 \r\n",
       "L 300.450474 52.337377 \r\n",
       "L 300.756674 46.725692 \r\n",
       "L 301.062875 50.993312 \r\n",
       "L 301.369076 51.600933 \r\n",
       "L 301.675277 60.727046 \r\n",
       "L 302.287679 50.619458 \r\n",
       "L 302.593879 48.887873 \r\n",
       "L 302.90008 40.984003 \r\n",
       "L 303.206281 47.778711 \r\n",
       "L 303.512482 73.217696 \r\n",
       "L 303.818683 55.292127 \r\n",
       "L 304.124884 67.315546 \r\n",
       "L 304.431085 45.801297 \r\n",
       "L 304.737285 42.515889 \r\n",
       "L 305.043486 67.908224 \r\n",
       "L 305.962089 42.521859 \r\n",
       "L 306.26829 40.951082 \r\n",
       "L 306.57449 40.847266 \r\n",
       "L 306.880691 75.573077 \r\n",
       "L 307.186892 68.254988 \r\n",
       "L 307.493093 65.881913 \r\n",
       "L 307.799294 42.047566 \r\n",
       "L 308.105495 34.734258 \r\n",
       "L 308.411695 38.091973 \r\n",
       "L 308.717896 61.313269 \r\n",
       "L 309.024097 69.465613 \r\n",
       "L 309.330298 58.335281 \r\n",
       "L 309.9427 50.005199 \r\n",
       "L 310.248901 53.585957 \r\n",
       "L 310.555101 53.051547 \r\n",
       "L 310.861302 54.110649 \r\n",
       "L 311.167503 47.113039 \r\n",
       "L 311.779905 76.86926 \r\n",
       "L 312.086106 84.482569 \r\n",
       "L 312.392306 80.297688 \r\n",
       "L 312.698507 78.105588 \r\n",
       "L 313.004708 66.723996 \r\n",
       "L 313.61711 37.556279 \r\n",
       "L 313.923311 41.983909 \r\n",
       "L 314.229511 56.086267 \r\n",
       "L 314.535712 77.592142 \r\n",
       "L 314.841913 83.956602 \r\n",
       "L 315.148114 87.645384 \r\n",
       "L 315.454315 103.249539 \r\n",
       "L 315.760516 86.470301 \r\n",
       "L 316.066716 83.599435 \r\n",
       "L 316.372917 83.029847 \r\n",
       "L 316.679118 79.94787 \r\n",
       "L 316.985319 89.923823 \r\n",
       "L 317.597721 78.862997 \r\n",
       "L 317.903922 79.320144 \r\n",
       "L 318.210122 73.604331 \r\n",
       "L 318.516323 80.227358 \r\n",
       "L 318.822524 79.768709 \r\n",
       "L 319.128725 76.483033 \r\n",
       "L 319.434926 91.271133 \r\n",
       "L 319.741127 90.662957 \r\n",
       "L 320.047327 74.570447 \r\n",
       "L 320.353528 85.867956 \r\n",
       "L 320.659729 84.687614 \r\n",
       "L 320.96593 81.012664 \r\n",
       "L 321.578332 88.157641 \r\n",
       "L 321.884532 102.873243 \r\n",
       "L 322.190733 95.695908 \r\n",
       "L 322.496934 103.001354 \r\n",
       "L 322.803135 100.023324 \r\n",
       "L 323.109336 92.095115 \r\n",
       "L 323.415537 92.297626 \r\n",
       "L 323.721738 89.690117 \r\n",
       "L 324.027938 123.290938 \r\n",
       "L 324.334139 126.507982 \r\n",
       "L 325.252742 82.262633 \r\n",
       "L 325.558943 100.374369 \r\n",
       "L 325.865143 129.682762 \r\n",
       "L 326.477545 114.967295 \r\n",
       "L 326.783746 120.560055 \r\n",
       "L 327.089947 120.139821 \r\n",
       "L 327.396148 106.207486 \r\n",
       "L 327.702348 116.96301 \r\n",
       "L 328.008549 116.6342 \r\n",
       "L 328.31475 117.048577 \r\n",
       "L 328.620951 105.477836 \r\n",
       "L 328.927152 100.784785 \r\n",
       "L 329.233353 112.549385 \r\n",
       "L 329.539554 113.099415 \r\n",
       "L 330.151955 140.43065 \r\n",
       "L 330.458156 144.700025 \r\n",
       "L 330.764357 152.411893 \r\n",
       "L 331.070558 137.082258 \r\n",
       "L 331.376759 141.691395 \r\n",
       "L 331.682959 151.39583 \r\n",
       "L 331.98916 146.300448 \r\n",
       "L 332.295361 143.160208 \r\n",
       "L 332.601562 147.048429 \r\n",
       "L 332.907763 137.4617 \r\n",
       "L 333.213964 159.507309 \r\n",
       "L 333.520164 159.275783 \r\n",
       "L 333.826365 140.775057 \r\n",
       "L 334.132566 134.290802 \r\n",
       "L 334.438767 144.673068 \r\n",
       "L 334.744968 136.39097 \r\n",
       "L 335.051169 144.390671 \r\n",
       "L 335.35737 147.988042 \r\n",
       "L 335.66357 161.99609 \r\n",
       "L 335.969771 166.106175 \r\n",
       "L 336.275972 161.342439 \r\n",
       "L 336.582173 158.910385 \r\n",
       "L 336.888374 165.172672 \r\n",
       "L 337.194575 159.055061 \r\n",
       "L 337.500775 166.355588 \r\n",
       "L 337.806976 147.861292 \r\n",
       "L 338.113177 146.611758 \r\n",
       "L 338.419378 165.227683 \r\n",
       "L 338.725579 169.838568 \r\n",
       "L 339.03178 164.993382 \r\n",
       "L 339.33798 157.299988 \r\n",
       "L 339.644181 155.499615 \r\n",
       "L 339.950382 157.209306 \r\n",
       "L 340.256583 169.931513 \r\n",
       "L 340.562784 173.439148 \r\n",
       "L 340.868985 166.450648 \r\n",
       "L 341.175185 171.57911 \r\n",
       "L 341.481386 153.589768 \r\n",
       "L 341.787587 170.68626 \r\n",
       "L 342.093788 174.387335 \r\n",
       "L 342.399989 170.681559 \r\n",
       "L 342.70619 170.808237 \r\n",
       "L 343.012391 173.620409 \r\n",
       "L 343.318591 171.68413 \r\n",
       "L 343.624792 166.113834 \r\n",
       "L 343.930993 166.644376 \r\n",
       "L 344.237194 160.458518 \r\n",
       "L 344.543395 172.93101 \r\n",
       "L 345.155796 178.039903 \r\n",
       "L 345.461997 181.476825 \r\n",
       "L 346.074399 175.788477 \r\n",
       "L 346.3806 175.958529 \r\n",
       "L 346.686801 174.428582 \r\n",
       "L 346.993001 174.763783 \r\n",
       "L 347.605403 184.695704 \r\n",
       "L 347.911604 180.677377 \r\n",
       "L 348.217805 181.827406 \r\n",
       "L 348.524006 178.047288 \r\n",
       "L 348.524006 178.047288 \r\n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 28.942188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 363.742188 228.14 \r\n",
       "L 363.742188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path d=\"M 28.942188 228.14 \r\n",
       "L 363.742188 228.14 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 28.942188 10.7 \r\n",
       "L 363.742188 10.7 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_7\">\r\n",
       "     <path d=\"M 161.575 77.4125 \r\n",
       "L 231.109375 77.4125 \r\n",
       "Q 233.109375 77.4125 233.109375 75.4125 \r\n",
       "L 233.109375 17.7 \r\n",
       "Q 233.109375 15.7 231.109375 15.7 \r\n",
       "L 161.575 15.7 \r\n",
       "Q 159.575 15.7 159.575 17.7 \r\n",
       "L 159.575 75.4125 \r\n",
       "Q 159.575 77.4125 161.575 77.4125 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_17\">\r\n",
       "     <path d=\"M 163.575 23.798437 \r\n",
       "L 183.575 23.798437 \r\n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_18\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- step 4 -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-73\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-74\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-65\"/>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-70\"/>\r\n",
       "      <path id=\"DejaVuSans-20\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(191.575 27.298437)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"91.308594\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-70\"/>\r\n",
       "      <use x=\"216.308594\" xlink:href=\"#DejaVuSans-20\"/>\r\n",
       "      <use x=\"248.095703\" xlink:href=\"#DejaVuSans-34\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_19\">\r\n",
       "     <path d=\"M 163.575 38.476562 \r\n",
       "L 183.575 38.476562 \r\n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_20\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- step 8 -->\r\n",
       "     <g transform=\"translate(191.575 41.976562)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"91.308594\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-70\"/>\r\n",
       "      <use x=\"216.308594\" xlink:href=\"#DejaVuSans-20\"/>\r\n",
       "      <use x=\"248.095703\" xlink:href=\"#DejaVuSans-38\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_21\">\r\n",
       "     <path d=\"M 163.575 53.154687 \r\n",
       "L 183.575 53.154687 \r\n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_22\"/>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- step 16 -->\r\n",
       "     <g transform=\"translate(191.575 56.654687)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"91.308594\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-70\"/>\r\n",
       "      <use x=\"216.308594\" xlink:href=\"#DejaVuSans-20\"/>\r\n",
       "      <use x=\"248.095703\" xlink:href=\"#DejaVuSans-31\"/>\r\n",
       "      <use x=\"311.71875\" xlink:href=\"#DejaVuSans-36\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_23\">\r\n",
       "     <path d=\"M 163.575 67.832812 \r\n",
       "L 183.575 67.832812 \r\n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_24\"/>\r\n",
       "    <g id=\"text_16\">\r\n",
       "     <!-- step 32 -->\r\n",
       "     <g transform=\"translate(191.575 71.332812)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-73\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-74\"/>\r\n",
       "      <use x=\"91.308594\" xlink:href=\"#DejaVuSans-65\"/>\r\n",
       "      <use x=\"152.832031\" xlink:href=\"#DejaVuSans-70\"/>\r\n",
       "      <use x=\"216.308594\" xlink:href=\"#DejaVuSans-20\"/>\r\n",
       "      <use x=\"248.095703\" xlink:href=\"#DejaVuSans-33\"/>\r\n",
       "      <use x=\"311.71875\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p04d49646fa\">\r\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"28.942188\" y=\"10.7\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = 33  # Look up to k - embedding steps ahead\n",
    "\n",
    "features = torch.zeros((T-k, k))\n",
    "for i in range(embedding):\n",
    "    features[:,i] = x[i:T-k+i]\n",
    "\n",
    "for i in range(embedding, k):\n",
    "    features[:,i] = net(features[:,(i-embedding):i]).reshape((-1))\n",
    "\n",
    "for i in (4, 8, 16, 32):\n",
    "    plt.plot(time[i:T-k+i].numpy(), features[:,i].detach().numpy(),\n",
    "             label=('step ' + str(i)))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This clearly illustrates how the quality of the estimates changes as we try to predict further into the future. While the 8-step predictions are still pretty good, anything beyond that is pretty useless."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "* Sequence models require specialized statistical tools for estimation. Two popular choices are autoregressive models and latent-variable autoregressive models.\n",
    "* As we predict further in time, the errors accumulate and the quality of the estimates degrades, often dramatically.\n",
    "* There's quite a difference in difficulty between filling in the blanks in a sequence (smoothing) and forecasting. Consequently, if you have a time series, always respect the temporal order of the data when training, i.e. never train on future data.\n",
    "* For causal models (e.g. time going forward), estimating the forward direction is typically a lot easier than the reverse direction, i.e. we can get by with simpler networks.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercises\n",
    "\n",
    "1. Improve the above model.\n",
    "    * Incorporate more than the past 4 observations? How many do you really need?\n",
    "    * How many would you need if there were no noise? Hint - you can write $\\sin$ and $\\cos$ as a differential equation.\n",
    "    * Can you incorporate older features while keeping the total number of features constant? Does this improve accuracy? Why?\n",
    "    * Change the architecture and see what happens.\n",
    "1. An investor wants to find a good security to buy. She looks at past returns to decide which one is likely to do well. What could possibly go wrong with this strategy?\n",
    "1. Does causality also apply to text? To which extent?\n",
    "1. Give an example for when a latent variable autoregressive model might be needed to capture the dynamic of the data.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
